Steply

Write 8% as a fraction

Step by step, with the reason for every step · Percents, decimals and fractions · Foundations

Step by step

The question

Question: write 8% as a fraction.

8%

1 Write it over 100

Percent means out of 100.

So 8% is 8/100.

= 8100

Careful!

8% is 8 out of 100, not out of 10.

Many people write 8/10.

Careful: not 8% = 810 ✗

2 Simplify

8 and 100 can both be divided by 4.

That makes it simpler.

= 8 ÷ 4100 ÷ 4

So 8% is 2/25.

= 225

Can we make it simpler?

No number goes into both 2 and 25, except 1.

So it stays like this.

simplest ✓

3 Check

Let's check: make the bottom 100 again.

25 times 4 is 100.

2 times 4 is 8.

8 out of 100 is 8%.

So the answer is right!

Check: 225 = 2 × 425 × 4 = 8100 = 8%

Let's look back.

First: write it over 100.

Then: simplify.

Last: check.

Answer
simplest ✓

Your turn

Try this one yourself, then check:

Write 6%
Show the answer
350

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