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%