Steply

Write 2/5 as a percentage.

Step by step, with the reason for every step · GCSE Maths Foundation Paper 1 · GCSE Maths

Step by step

The question

Question: write 2/5 as a percent.

25

1 Make the bottom 100

Percent means out of 100.

So we want a bottom of 100.

100 divided by 5 is 20.

So 5 times 20 is 100.

100 ÷ 5 = 20 ✓

We multiply the top and the bottom by 20.

20/20 is 1, so the value stays the same.

= 2 × 205 × 20

2 times 20 is 40.

So we get 40/100.

= 40100

Careful!

As a decimal, 2/5 is 0.4.

But 0.4% means 0.4 out of 100: far too small.

Careful: not 25 = 0.4% ✗

2 Write the percent

40 out of 100 is 40%.

= 40%

3 Check

Let's check: go back.

40% is 40/100.

Divide the top and the bottom by 20.

We get 2/5.

So the answer is right!

Check: 40% = 40100 = 40 ÷ 20100 ÷ 20 = 25

Let's look back.

First: make the bottom 100.

Then: write the percent.

Last: check.

Answer
= 40%

Your turn

Try this one yourself, then check your answer:

Write 710 as a percent
Show the answer
70%

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