Steply

Write 0.08 as a fraction

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

Step by step

The question

Question: write 0.08 as a fraction.

0.08

1 Read the place value

0.08 has 2 digits after the point.

The last digit is in the hundredths.

So we write it over 100.

2 digits after the point → over 100

0.08 is 8 hundredths: 8/100.

= 8100

2 Simplify

8 and 100 can both be divided by 4.

That makes it simpler.

= 8 ÷ 4100 ÷ 4

So it 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.

2 times 4 is 8.

25 times 4 is 100.

8 hundredths is 0.08.

So the answer is right!

Check: 225 = 2 × 425 × 4 = 8100 = 0.08

Let's look back.

First: read the place value.

Then: simplify.

Last: check.

Answer
simplest ✓

Your turn

Try this one yourself, then check:

Write 0.72
Show the answer
1825

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