Steply

Write 125% as a fraction

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

Step by step

The question

Question: write 125% as a fraction.

125%

1 Write it over 100

Percent means out of 100.

So 125% is 125/100.

= 125100

Careful!

125% is more than 100%.

So the fraction is more than 1.

The top is bigger than the bottom.

Careful: more than 100% → more than 1

2 Simplify

125 and 100 can both be divided by 25.

That makes it simpler.

= 125 ÷ 25100 ÷ 25

So 125% is 5/4.

= 54

Can we make it simpler?

No number goes into both 5 and 4, except 1.

So it stays like this.

simplest ✓

3 Check

Let's check: make the bottom 100 again.

4 times 25 is 100.

5 times 25 is 125.

125 out of 100 is 125%.

So the answer is right!

Check: 54 = 5 × 254 × 25 = 125100 = 125%

Let's look back.

First: write it over 100.

Then: simplify.

Last: check.

Answer
simplest ✓

Your turn

Try this one yourself, then check:

Write 120%
Show the answer
65

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