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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.

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

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%

What is ⅖ 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%

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.

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 %

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 91�ȱ� Teach which explains how to convert from a fraction to a percentage, and from a decimal to a percentage.

Converting quiz

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

Turning fractions into percentages

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

Finding percentages

Have a go at answering these questions about finding percentages.