Step by step
The question
Question: write 4/15 as a percent.
1 Multiply by 100%
Percent means out of 100.
But 15 does not go into 100 or 1000.
100% is all of it: 1 whole.
Times 1 does not change the size.
So we multiply by 100%.
4 times 100 is 400.
400 and 15 can both be divided by 5.
That keeps the numbers small: 80/3 percent.
2 Divide
80 divided by 3 is 26, with 2 left over.
The 2 left over is still divided by 3: 2/3.
So it is 26⅔%.
Careful!
26% is not exact.
The 2 left over is part of the answer too: two thirds more.
3 Check
Let's check.
15 times our answer should be 4 times 100%, because 15 times 4/15 is 4.
15 times 26 is 390.
15 times 2/3 is 10.
390 plus 10 is 400%: 4 wholes.
So the answer is right!
Let's look back.
First: multiply by 100%.
Then: divide.
Last: check.