# Convert fractions into percentages

## Home learning focus

Learn how to turn a fraction into a percentage.

This lesson includes:

• two videos
• three interactive quizzes

# Learn

First watch this video from KS2 Maths to find out a bit about percentages.

## Did you know?

All fractions can be converted to percentages and vice versa!

Per cent means out of a hundred. When we talk about percentages, we are referring to a fraction that is over one hundred.

Instead of writing it as a fraction, we use the per cent symbol (%).

59% = ⁵⁹⁄₁₀₀

Let's take a look at two methods to convert fractions into percentages.

## Method 1

Since not all fractions have a denominator of 100, you have to convert the fraction into one that does.

### Example 1:

What is ²³⁄₂₅ as a percentage?

• Step 1: Convert ²³⁄₂₅ into an equivalent fraction with a denominator of 100. Remember, multiply the numerator and the denominator by the same number.
• Step 2: Now that you have the equivalent fraction of ⁹²⁄₁₀₀, you take the numerator and add the per cent sign!

⁹²⁄₁₀₀ = 92%

### Example 2:

What is as a percentage?

• Step 1: Convert ⅖ into an equivalent fraction with a denominator of 100.
• Step 2: Place the numerator 40 next to the per cent symbol.

⁴⁰⁄₁₀₀ = 40%

## Method 2

What if you can’t convert the fraction into an equivalent with a denominator of 100? Not all numbers go into 100 after all.

Sometimes, you have to convert the fraction into a decimal first before finding the percentage.

### Example 1:

What is ³⁄₈ as a percentage?

• Step 1: Did you know that the fraction line also means divide? So ³⁄₈ can also be written as 3 ÷ 8.

So 3 ÷ 8 = 0.375

Top tip: You can always use the bus stop method to help you with division.

• Step 2: Now that the fraction is a decimal, you multiply it by 100.

0.375 x 100 = 37.5

• Step 3: Add the per cent sign next to 37.5.

So ³⁄₈ = 37.5 %

### Example 2:

What is ⁴⁄₆ as a percentage?

• Step 1: Divide the numerator by the denominator.

So 4 ÷ 6 = 0.67 (rounded to two decimal places)

• Step 2: Multiply by 100.

0.67 x 100 = 67

• Step 3: Add the per cent symbol.

So ⁴⁄₆ = 67 %

Now watch this video from BBC Teach which explains how to convert from a fraction to a percentage, and from a decimal to a percentage.

# Practise

## Activity 1

Converting quiz

Play this quiz and see how much you have learned about converting fractions and percentages. Can you get them all right?

## Activity 2

Turning fractions into percentages

Use the methods we've learned in this lesson to turn these fractions into percentages.

## Activity 3

Finding percentages

Have a go at answering these questions about finding percentages.