Steply

Write 0.125 as a fraction

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

Step by step

The question

Question: write 0.125 as a fraction.

0.125

1 Read the place value

0.125 has 3 digits after the point.

The last digit is in the thousandths.

So we write it over 1000.

3 digits after the point → over 1000

0.125 is 125 thousandths: 125/1000.

= 1251000

2 Simplify

125 and 1000 can both be divided by 125.

That makes it simpler.

= 125 ÷ 1251000 ÷ 125

So it is 1/8.

= 18

Can we make it simpler?

No number goes into both 1 and 8, except 1.

So it stays like this.

simplest ✓

3 Check

Let's check: make the bottom 1000 again.

1 times 125 is 125.

8 times 125 is 1000.

125 thousandths is 0.125.

So the answer is right!

Check: 18 = 1 × 1258 × 125 = 1251000 = 0.125

Let's look back.

First: read the place value.

Then: simplify.

Last: check.

Answer
simplest ✓

Your turn

Try this one yourself, then check:

Write 0.625
Show the answer
58

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