Steply

Write 45% as a fraction

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

Step by step

The question

Question: write 45% as a fraction.

45%

1 Write it over 100

Percent means out of 100.

So 45% is 45/100.

= 45100

2 Simplify

45 and 100 can both be divided by 5.

That makes it simpler.

= 45 ÷ 5100 ÷ 5

So 45% is 9/20.

= 920

Can we make it simpler?

No number goes into both 9 and 20, except 1.

So it stays like this.

simplest ✓

3 Check

Let's check: make the bottom 100 again.

20 times 5 is 100.

9 times 5 is 45.

45 out of 100 is 45%.

So the answer is right!

Check: 920 = 9 × 520 × 5 = 45100 = 45%

Let's look back.

First: write it over 100.

Then: simplify.

Last: check.

Answer
simplest ✓

Your turn

Try this one yourself, then check:

Write 50%
Show the answer
12

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