2.1.2 Fractions and advanced operations

Achievable ASVAB

2. Mathematics Knowledge

2.1. Foundational math

Our ASVAB course is currently in development and is a work-in-progress.

Fractions and advanced operations

7 min read

Font

Discuss

Feedback

Fractions

Definitions

Fractions: Numbers that represent parts of a whole
Numerator: Top of a fraction
Denominator: Bottom of the fraction
Reciprocal: A fraction flipped upside down
Improper fraction: A fraction where the numerator is larger than the denominator
Mixed fraction: A fraction that contains whole numbers and a fraction

Fractions represent parts of a whole. You may also see fractions written in different forms, such as improper fractions or mixed numbers. These will be covered in more detail later.

The numerator (top) tells you how many parts you have.
The denominator (bottom) tells you how many equal parts make up the whole.

For example, in the fraction $\frac{3}{4}$ , the whole is divided into $4$ equal parts, and you have $3$ of those parts.

The fraction 1/2. The numerator, 1, is the parts you have; the denominator, 2, is the equal parts in the whole. — Fraction parts

You’ll use a few core fraction skills such as adding, subtracting, multiplying, dividing, working with reciprocals, and converting between fractions, decimals, and percents.

These skills help you solve a wide range of problems, from basic calculations to more complex equations, so it’s important to understand how and when to use each one.

Adding and subtracting fractions

To add or subtract fractions, the denominators must match. The denominator tells you the size of each part, so you can only combine fractions when the parts are the same size.

That means you first need to find a common denominator (a common multiple of the denominators). Then:

Rewrite each fraction with that denominator
Add or subtract the numerators
Keep the denominator the same

Example:

$\frac{1}{2} + \frac{1}{3}$

Start by listing multiples of each denominator:

$2 : 2, 4, 6, 8, 10$

$3 : 3, 6, 9, 12$

The least common denominator is $6$ . To change a fraction without changing its value, multiply the top and bottom by the same number.

To rewrite $\frac{1}{2}$ with denominator $6$ , multiply by $\frac{3}{3}$ . To rewrite $\frac{1}{3}$ with denominator $6$ , multiply by $\frac{2}{2}$ . Multiplying by $\frac{3}{3}$ or $\frac{2}{2}$ doesn’t change the value of the fraction because you’re multiplying by $1$ .

$\frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

$\frac{1 \times 2}{3 \times 2} = \frac{2}{6}$

Now add the numerators and keep the denominator:

$\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Steps taken:

Find a common denominator
Rewrite each fraction
Add the numerators
Keep the denominator the same

Sidenote

Common denominators

You can always just multiply the denominators by each other for a quick way to get a common denominator. This method might not give you the least common denominator but it will always give you a common denominator.

Knowledge check: Solve $\frac{7}{8} - \frac{4}{5}$ ?

(spoiler)

$\frac{35}{40} - \frac{32}{40} = \frac{3}{40}$

Multiply fractions

To multiply fractions, multiply straight across. This means you multiply the top numbers together and the bottom numbers together. You do not need a common denominator.

Numerator times numerator
Denominator times denominator

$\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$

Think of it as multiplying two parts of a whole. You’re finding a part of a part.

Dividing fractions

Before dividing fractions, it helps to know the reciprocal. The reciprocal is the fraction flipped.

$\frac{3}{4} \to \frac{4}{3}$

To divide fractions, keep the first fraction the same and multiply by the reciprocal of the second fraction (often called keep-change-flip). This works because dividing by a fraction is the same as multiplying by its reciprocal.

Keep, change, flip

Let’s break down how to solve this example. Use the method shown in the graphic above: keep, change, flip.

$\frac{1}{2} \div \frac{3}{4}$

Keep the first fraction the same
Change division to multiplication
Flip the second fraction (take the reciprocal)

$\frac{1}{2} \times \frac{4}{3}$

Now multiply straight across (top times top, bottom times bottom):

$\frac{4}{6}$

Simplify the fraction:

$\frac{2}{3}$

Simplifying fractions

After solving a fraction problem, you usually simplify your answer. This means writing the fraction in its simplest form.

Fractions can be written in different ways while representing the same value. This is why we simplify. For example, $\frac{1}{2}$ is the same as $\frac{2}{4}$ or $\frac{4}{8}$ .

In most math work, you write the final answer in simplest (most reduced) form. That means the numerator and denominator have no common factor other than $1$ .

To simplify a fraction:

Find the greatest common factor of the numerator and denominator.
Divide both by that factor.

Example 1:

If we have the fraction $\frac{4}{10}$ , we want to see if the fraction can be reduced by looking at the factors for both the numerator and the denominator.

$4 : 1, 2, 4$

$10 : 1, 2, 5, 10$

Since both numbers share the common factor of $2$ , divide both the numerator and denominator by $2$ .

$\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

So the most reduced form of $\frac{4}{10}$ is $\frac{2}{5}$ .

Example 2:

Reduce the following fraction:

$\frac{14}{35}$

$14 : 1, 2, 7, 14$

$35 : 1, 5, 7, 35$

$\frac{14}{35} = \frac{14 \div 7}{35 \div 7} = \frac{2}{5}$

Steps taken:

Find common factors
Divide numerator and denominator by the same number
Write the simplified fraction

Converting fractions

Now let’s apply what we’ve learned about simplifying and converting fractions. To convert a fraction to a percent, first write it as a decimal by dividing the numerator by the denominator. Then multiply by 100.

Example:

Convert $\frac{1}{4}$ to a percent:

First, divide the numerator by the denominator to get a decimal:

$\frac{1}{4} = 1 \div 4 = 0.25$

Next, convert the decimal to a percent by multiplying by $100$ :

$0.25 \times 100 = 25%$

So,

$\frac{1}{4} = 0.25 = 25%$

Steps taken:

Divide the numerator by the denominator
Convert the decimal to a percent by multiplying by 100
Write the final answer

Knowledge check: Convert $\frac{4}{16}$ to a percent

(spoiler)

$25%$

Fraction basics

Fraction = parts of a whole; numerator (top) = parts you have, denominator (bottom) = total equal parts
Key terms: reciprocal (flipped fraction), improper fraction (numerator > denominator), mixed fraction (whole number + fraction)
Core skills: add, subtract, multiply, divide, use reciprocals, convert between fractions/decimals/percents

Adding and subtracting fractions

Denominators must match before combining
Steps: find common denominator (multiples or multiply denominators together) → rewrite fractions → add/subtract numerators → keep denominator same
Example: $\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Multiplying and dividing fractions

Multiply: multiply straight across (numerator×numerator, denominator×denominator); no common denominator needed
- $\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$
Divide: use “keep, change, flip” — keep first fraction, change ÷ to ×, flip (reciprocate) second fraction, then multiply across
- $\frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}$

Simplifying fractions

Final answers should be in simplest form (no common factor besides 1 between numerator/denominator)
Steps: find greatest common factor (GCF) of numerator and denominator → divide both by it
- Example: $\frac{4}{10} = \frac{2}{5}$ (GCF=2); $\frac{14}{35} = \frac{2}{5}$ (GCF=7)

Converting fractions to percents

Steps: divide numerator by denominator to get decimal → multiply by 100 to get percent
- Example: $\frac{1}{4} = 0.25 = 25%$

Next | 2.1.3 Core math concepts

Fractions and advanced operations

Fractions

Definitions

Fractions: Numbers that represent parts of a whole
Numerator: Top of a fraction
Denominator: Bottom of the fraction
Reciprocal: A fraction flipped upside down
Improper fraction: A fraction where the numerator is larger than the denominator
Mixed fraction: A fraction that contains whole numbers and a fraction

Fractions represent parts of a whole. You may also see fractions written in different forms, such as improper fractions or mixed numbers. These will be covered in more detail later.

The numerator (top) tells you how many parts you have.
The denominator (bottom) tells you how many equal parts make up the whole.

For example, in the fraction $\frac{3}{4}$ , the whole is divided into $4$ equal parts, and you have $3$ of those parts.

You’ll use a few core fraction skills such as adding, subtracting, multiplying, dividing, working with reciprocals, and converting between fractions, decimals, and percents.

These skills help you solve a wide range of problems, from basic calculations to more complex equations, so it’s important to understand how and when to use each one.

Adding and subtracting fractions

To add or subtract fractions, the denominators must match. The denominator tells you the size of each part, so you can only combine fractions when the parts are the same size.

That means you first need to find a common denominator (a common multiple of the denominators). Then:

Rewrite each fraction with that denominator
Add or subtract the numerators
Keep the denominator the same

Example:

$\frac{1}{2} + \frac{1}{3}$

Start by listing multiples of each denominator:

$2 : 2, 4, 6, 8, 10$

$3 : 3, 6, 9, 12$

The least common denominator is $6$ . To change a fraction without changing its value, multiply the top and bottom by the same number.

To rewrite $\frac{1}{2}$ with denominator $6$ , multiply by $\frac{3}{3}$ . To rewrite $\frac{1}{3}$ with denominator $6$ , multiply by $\frac{2}{2}$ . Multiplying by $\frac{3}{3}$ or $\frac{2}{2}$ doesn’t change the value of the fraction because you’re multiplying by $1$ .

$\frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

$\frac{1 \times 2}{3 \times 2} = \frac{2}{6}$

Now add the numerators and keep the denominator:

$\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Steps taken:

Find a common denominator
Rewrite each fraction
Add the numerators
Keep the denominator the same

Sidenote

Common denominators

Knowledge check: Solve $\frac{7}{8} - \frac{4}{5}$ ?

(spoiler)

$\frac{35}{40} - \frac{32}{40} = \frac{3}{40}$

Multiply fractions

To multiply fractions, multiply straight across. This means you multiply the top numbers together and the bottom numbers together. You do not need a common denominator.

Numerator times numerator
Denominator times denominator

$\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$

Think of it as multiplying two parts of a whole. You’re finding a part of a part.

Dividing fractions

Before dividing fractions, it helps to know the reciprocal. The reciprocal is the fraction flipped.

$\frac{3}{4} \to \frac{4}{3}$

Keep, change, flip

Let’s break down how to solve this example. Use the method shown in the graphic above: keep, change, flip.

$\frac{1}{2} \div \frac{3}{4}$

Keep the first fraction the same
Change division to multiplication
Flip the second fraction (take the reciprocal)

$\frac{1}{2} \times \frac{4}{3}$

Now multiply straight across (top times top, bottom times bottom):

$\frac{4}{6}$

Simplify the fraction:

$\frac{2}{3}$

Simplifying fractions

After solving a fraction problem, you usually simplify your answer. This means writing the fraction in its simplest form.

Fractions can be written in different ways while representing the same value. This is why we simplify. For example, $\frac{1}{2}$ is the same as $\frac{2}{4}$ or $\frac{4}{8}$ .

In most math work, you write the final answer in simplest (most reduced) form. That means the numerator and denominator have no common factor other than $1$ .

To simplify a fraction:

Find the greatest common factor of the numerator and denominator.
Divide both by that factor.

Example 1:

If we have the fraction $\frac{4}{10}$ , we want to see if the fraction can be reduced by looking at the factors for both the numerator and the denominator.

$4 : 1, 2, 4$

$10 : 1, 2, 5, 10$

Since both numbers share the common factor of $2$ , divide both the numerator and denominator by $2$ .

$\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

So the most reduced form of $\frac{4}{10}$ is $\frac{2}{5}$ .

Example 2:

Reduce the following fraction:

$\frac{14}{35}$

$14 : 1, 2, 7, 14$

$35 : 1, 5, 7, 35$

$\frac{14}{35} = \frac{14 \div 7}{35 \div 7} = \frac{2}{5}$

Steps taken:

Find common factors
Divide numerator and denominator by the same number
Write the simplified fraction

Converting fractions

Example:

Convert $\frac{1}{4}$ to a percent:

First, divide the numerator by the denominator to get a decimal:

$\frac{1}{4} = 1 \div 4 = 0.25$

Next, convert the decimal to a percent by multiplying by $100$ :

$0.25 \times 100 = 25%$

So,

$\frac{1}{4} = 0.25 = 25%$

Steps taken:

Divide the numerator by the denominator
Convert the decimal to a percent by multiplying by 100
Write the final answer

Knowledge check: Convert $\frac{4}{16}$ to a percent

(spoiler)

$25%$

Achievable ASVAB

2. Mathematics Knowledge

2.1. Foundational math

Our ASVAB course is currently in development and is a work-in-progress.

Fractions and advanced operations

7 min read

Font

Discuss

Feedback

Fractions

Definitions

Fractions: Numbers that represent parts of a whole
Numerator: Top of a fraction
Denominator: Bottom of the fraction
Reciprocal: A fraction flipped upside down
Improper fraction: A fraction where the numerator is larger than the denominator
Mixed fraction: A fraction that contains whole numbers and a fraction

Fractions represent parts of a whole. You may also see fractions written in different forms, such as improper fractions or mixed numbers. These will be covered in more detail later.

The numerator (top) tells you how many parts you have.
The denominator (bottom) tells you how many equal parts make up the whole.

For example, in the fraction $\frac{3}{4}$ , the whole is divided into $4$ equal parts, and you have $3$ of those parts.

You’ll use a few core fraction skills such as adding, subtracting, multiplying, dividing, working with reciprocals, and converting between fractions, decimals, and percents.

These skills help you solve a wide range of problems, from basic calculations to more complex equations, so it’s important to understand how and when to use each one.

Adding and subtracting fractions

To add or subtract fractions, the denominators must match. The denominator tells you the size of each part, so you can only combine fractions when the parts are the same size.

That means you first need to find a common denominator (a common multiple of the denominators). Then:

Rewrite each fraction with that denominator
Add or subtract the numerators
Keep the denominator the same

Example:

$\frac{1}{2} + \frac{1}{3}$

Start by listing multiples of each denominator:

$2 : 2, 4, 6, 8, 10$

$3 : 3, 6, 9, 12$

The least common denominator is $6$ . To change a fraction without changing its value, multiply the top and bottom by the same number.

To rewrite $\frac{1}{2}$ with denominator $6$ , multiply by $\frac{3}{3}$ . To rewrite $\frac{1}{3}$ with denominator $6$ , multiply by $\frac{2}{2}$ . Multiplying by $\frac{3}{3}$ or $\frac{2}{2}$ doesn’t change the value of the fraction because you’re multiplying by $1$ .

$\frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

$\frac{1 \times 2}{3 \times 2} = \frac{2}{6}$

Now add the numerators and keep the denominator:

$\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Steps taken:

Find a common denominator
Rewrite each fraction
Add the numerators
Keep the denominator the same

Sidenote

Common denominators

Knowledge check: Solve $\frac{7}{8} - \frac{4}{5}$ ?

(spoiler)

$\frac{35}{40} - \frac{32}{40} = \frac{3}{40}$

Multiply fractions

To multiply fractions, multiply straight across. This means you multiply the top numbers together and the bottom numbers together. You do not need a common denominator.

Numerator times numerator
Denominator times denominator

$\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$

Think of it as multiplying two parts of a whole. You’re finding a part of a part.

Dividing fractions

Before dividing fractions, it helps to know the reciprocal. The reciprocal is the fraction flipped.

$\frac{3}{4} \to \frac{4}{3}$

Keep, change, flip

Let’s break down how to solve this example. Use the method shown in the graphic above: keep, change, flip.

$\frac{1}{2} \div \frac{3}{4}$

Keep the first fraction the same
Change division to multiplication
Flip the second fraction (take the reciprocal)

$\frac{1}{2} \times \frac{4}{3}$

Now multiply straight across (top times top, bottom times bottom):

$\frac{4}{6}$

Simplify the fraction:

$\frac{2}{3}$

Simplifying fractions

After solving a fraction problem, you usually simplify your answer. This means writing the fraction in its simplest form.

Fractions can be written in different ways while representing the same value. This is why we simplify. For example, $\frac{1}{2}$ is the same as $\frac{2}{4}$ or $\frac{4}{8}$ .

In most math work, you write the final answer in simplest (most reduced) form. That means the numerator and denominator have no common factor other than $1$ .

To simplify a fraction:

Find the greatest common factor of the numerator and denominator.
Divide both by that factor.

Example 1:

If we have the fraction $\frac{4}{10}$ , we want to see if the fraction can be reduced by looking at the factors for both the numerator and the denominator.

$4 : 1, 2, 4$

$10 : 1, 2, 5, 10$

Since both numbers share the common factor of $2$ , divide both the numerator and denominator by $2$ .

$\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

So the most reduced form of $\frac{4}{10}$ is $\frac{2}{5}$ .

Example 2:

Reduce the following fraction:

$\frac{14}{35}$

$14 : 1, 2, 7, 14$

$35 : 1, 5, 7, 35$

$\frac{14}{35} = \frac{14 \div 7}{35 \div 7} = \frac{2}{5}$

Steps taken:

Find common factors
Divide numerator and denominator by the same number
Write the simplified fraction

Converting fractions

Example:

Convert $\frac{1}{4}$ to a percent:

First, divide the numerator by the denominator to get a decimal:

$\frac{1}{4} = 1 \div 4 = 0.25$

Next, convert the decimal to a percent by multiplying by $100$ :

$0.25 \times 100 = 25%$

So,

$\frac{1}{4} = 0.25 = 25%$

Steps taken:

Divide the numerator by the denominator
Convert the decimal to a percent by multiplying by 100
Write the final answer

Knowledge check: Convert $\frac{4}{16}$ to a percent

(spoiler)

$25%$

Fraction basics

Fraction = parts of a whole; numerator (top) = parts you have, denominator (bottom) = total equal parts
Key terms: reciprocal (flipped fraction), improper fraction (numerator > denominator), mixed fraction (whole number + fraction)
Core skills: add, subtract, multiply, divide, use reciprocals, convert between fractions/decimals/percents

Adding and subtracting fractions

Denominators must match before combining
Steps: find common denominator (multiples or multiply denominators together) → rewrite fractions → add/subtract numerators → keep denominator same
Example: $\frac{1}{2} + \frac{1}{3} = \frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Multiplying and dividing fractions

Multiply: multiply straight across (numerator×numerator, denominator×denominator); no common denominator needed
- $\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$
Divide: use “keep, change, flip” — keep first fraction, change ÷ to ×, flip (reciprocate) second fraction, then multiply across
- $\frac{1}{2} \div \frac{3}{4} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}$

Simplifying fractions

Final answers should be in simplest form (no common factor besides 1 between numerator/denominator)
Steps: find greatest common factor (GCF) of numerator and denominator → divide both by it
- Example: $\frac{4}{10} = \frac{2}{5}$ (GCF=2); $\frac{14}{35} = \frac{2}{5}$ (GCF=7)

Converting fractions to percents

Steps: divide numerator by denominator to get decimal → multiply by 100 to get percent
- Example: $\frac{1}{4} = 0.25 = 25%$

Next | 2.1.3 Core math concepts

Fractions and advanced operations

Fractions

Definitions

Fractions: Numbers that represent parts of a whole
Numerator: Top of a fraction
Denominator: Bottom of the fraction
Reciprocal: A fraction flipped upside down
Improper fraction: A fraction where the numerator is larger than the denominator
Mixed fraction: A fraction that contains whole numbers and a fraction

Fractions represent parts of a whole. You may also see fractions written in different forms, such as improper fractions or mixed numbers. These will be covered in more detail later.

The numerator (top) tells you how many parts you have.
The denominator (bottom) tells you how many equal parts make up the whole.

For example, in the fraction $\frac{3}{4}$ , the whole is divided into $4$ equal parts, and you have $3$ of those parts.

You’ll use a few core fraction skills such as adding, subtracting, multiplying, dividing, working with reciprocals, and converting between fractions, decimals, and percents.

These skills help you solve a wide range of problems, from basic calculations to more complex equations, so it’s important to understand how and when to use each one.

Adding and subtracting fractions

To add or subtract fractions, the denominators must match. The denominator tells you the size of each part, so you can only combine fractions when the parts are the same size.

That means you first need to find a common denominator (a common multiple of the denominators). Then:

Rewrite each fraction with that denominator
Add or subtract the numerators
Keep the denominator the same

Example:

$\frac{1}{2} + \frac{1}{3}$

Start by listing multiples of each denominator:

$2 : 2, 4, 6, 8, 10$

$3 : 3, 6, 9, 12$

The least common denominator is $6$ . To change a fraction without changing its value, multiply the top and bottom by the same number.

To rewrite $\frac{1}{2}$ with denominator $6$ , multiply by $\frac{3}{3}$ . To rewrite $\frac{1}{3}$ with denominator $6$ , multiply by $\frac{2}{2}$ . Multiplying by $\frac{3}{3}$ or $\frac{2}{2}$ doesn’t change the value of the fraction because you’re multiplying by $1$ .

$\frac{1 \times 3}{2 \times 3} = \frac{3}{6}$

$\frac{1 \times 2}{3 \times 2} = \frac{2}{6}$

Now add the numerators and keep the denominator:

$\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

Steps taken:

Find a common denominator
Rewrite each fraction
Add the numerators
Keep the denominator the same

Sidenote

Common denominators

Knowledge check: Solve $\frac{7}{8} - \frac{4}{5}$ ?

(spoiler)

$\frac{35}{40} - \frac{32}{40} = \frac{3}{40}$

Multiply fractions

To multiply fractions, multiply straight across. This means you multiply the top numbers together and the bottom numbers together. You do not need a common denominator.

Numerator times numerator
Denominator times denominator

$\frac{2}{3} \times \frac{1}{3} = \frac{2}{9}$

Think of it as multiplying two parts of a whole. You’re finding a part of a part.

Dividing fractions

Before dividing fractions, it helps to know the reciprocal. The reciprocal is the fraction flipped.

$\frac{3}{4} \to \frac{4}{3}$

Keep, change, flip

Let’s break down how to solve this example. Use the method shown in the graphic above: keep, change, flip.

$\frac{1}{2} \div \frac{3}{4}$

Keep the first fraction the same
Change division to multiplication
Flip the second fraction (take the reciprocal)

$\frac{1}{2} \times \frac{4}{3}$

Now multiply straight across (top times top, bottom times bottom):

$\frac{4}{6}$

Simplify the fraction:

$\frac{2}{3}$

Simplifying fractions

After solving a fraction problem, you usually simplify your answer. This means writing the fraction in its simplest form.

Fractions can be written in different ways while representing the same value. This is why we simplify. For example, $\frac{1}{2}$ is the same as $\frac{2}{4}$ or $\frac{4}{8}$ .

In most math work, you write the final answer in simplest (most reduced) form. That means the numerator and denominator have no common factor other than $1$ .

To simplify a fraction:

Find the greatest common factor of the numerator and denominator.
Divide both by that factor.

Example 1:

If we have the fraction $\frac{4}{10}$ , we want to see if the fraction can be reduced by looking at the factors for both the numerator and the denominator.

$4 : 1, 2, 4$

$10 : 1, 2, 5, 10$

Since both numbers share the common factor of $2$ , divide both the numerator and denominator by $2$ .

$\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

So the most reduced form of $\frac{4}{10}$ is $\frac{2}{5}$ .

Example 2:

Reduce the following fraction:

$\frac{14}{35}$

$14 : 1, 2, 7, 14$

$35 : 1, 5, 7, 35$

$\frac{14}{35} = \frac{14 \div 7}{35 \div 7} = \frac{2}{5}$

Steps taken:

Find common factors
Divide numerator and denominator by the same number
Write the simplified fraction

Converting fractions

Example:

Convert $\frac{1}{4}$ to a percent:

First, divide the numerator by the denominator to get a decimal:

$\frac{1}{4} = 1 \div 4 = 0.25$

Next, convert the decimal to a percent by multiplying by $100$ :

$0.25 \times 100 = 25%$

So,

$\frac{1}{4} = 0.25 = 25%$

Steps taken:

Divide the numerator by the denominator
Convert the decimal to a percent by multiplying by 100
Write the final answer

Knowledge check: Convert $\frac{4}{16}$ to a percent

(spoiler)

$25%$