Step by step
The question
Question: write 3/4 as a percent.
34
1 Make the bottom 100
Percent means out of 100.
So we want a bottom of 100.
4 times 25 is 100.
4 × 25 = 100
We multiply the top and the bottom by 25.
25/25 is 1, so the value stays the same.
= 3 × 254 × 25
3 times 25 is 75.
So we get 75/100.
= 75100
Careful!
As a decimal, 3/4 is 0.75.
But 0.75% means 0.75 out of 100: far too small.
Careful: not 34 = 0.75% ✗
2 Write the percent
75 out of 100 is 75%.
= 75%
3 Check
Let's check: go back.
75% is 75/100.
Divide the top and the bottom by 25.
We get 3/4.
So the answer is right!
Check: 75% = 75100 = 75 ÷ 25100 ÷ 25 = 34
Let's look back.
First: make the bottom 100.
Then: write the percent.
Last: check.
Answer
= 75%