70% as a fraction
Per cent means out of 100: 70% is 70/100, which simplifies to 7/10.
The answer
70% = 7/10
How to write 70% as a fraction
Per cent means out of 100, so write the percentage over 100: 70% = 70/100.
Simplify by dividing the top and bottom by the same number. In one go, divide by the highest common factor (the biggest whole number that divides both exactly), 10: 70/100 = 7/10.
7 and 10 share no factor except 1, so 7/10 is the simplest form.
As a decimal, 70% = 0.7: divide by 100, which moves each digit two places to the right.
To check, divide back: see 7/10 as a decimal and 7/10 as a percentage.
Using 7/10 to find 70% of an amount
Knowing that 70% is 7/10 makes finding 70% of an amount quick: divide by 10 to find 1/10, then multiply by 7.
70% of 40 = 40 ÷ 10 × 7 = 4 × 7 = 28
The bar model below opens on 70% of 40 and reaches the same answer another way, by building 70% from 50% and 20%. Change the numbers to try your own.
A bar model that finds a percentage of any amount, step by step. 70% of 40 is 28.
See 7/10
More percentages as fractions
Questions parents ask
What is 70% as a fraction?
70% = 70/100 = 7/10 in its simplest form.
What is 70% as a decimal?
70% = 0.7. Divide by 100: the digits move two places to the right.
How do you find 70% of an amount?
70% is 7/10, so divide by 10, then multiply by 7. For 70% of 40: 40 ÷ 10 = 4, and 4 × 7 = 28.
Continue your maths practice
Explore the diagnostic for another way to practise.