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Write 4/15 as a percent

Step by step, with the reason for every step · Percent · Foundations

Step by step

The question

Question: write 4/15 as a percent.

415

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.

100% = 1 whole

So we multiply by 100%.

= 415 × 100%

4 times 100 is 400.

= 4 × 10015% = 40015%

400 and 15 can both be divided by 5.

That keeps the numbers small: 80/3 percent.

= 400 ÷ 515 ÷ 5% = 803%

2 Divide

80 divided by 3 is 26, with 2 left over.

80 ÷ 3 = 26 r 2

The 2 left over is still divided by 3: 2/3.

So it is 26⅔%.

= 2623%

Careful!

26% is not exact.

The 2 left over is part of the answer too: two thirds more.

Careful: not 26% ✗

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.

15 × 26% = 390%, 15 × 23% = 10%

390 plus 10 is 400%: 4 wholes.

So the answer is right!

390% + 10% = 400% = 4 × 100%

Let's look back.

First: multiply by 100%.

Then: divide.

Last: check.

Answer
Careful: not 26% ✗

Your turn

Try this one yourself, then check:

Write 115 as a percent
Show the answer
623%

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