Steply

Write 0.45 as a fraction

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

Step by step

The question

Question: write 0.45 as a fraction.

0.45

1 Read the place value

0.45 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

0.45 is 45 hundredths: 45/100.

= 45100

2 Simplify

45 and 100 can both be divided by 5.

That makes it simpler.

= 45 ÷ 5100 ÷ 5

So it 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.

9 times 5 is 45.

20 times 5 is 100.

45 hundredths is 0.45.

So the answer is right!

Check: 920 = 9 × 520 × 5 = 45100 = 0.45

Let's look back.

First: read the place value.

Then: simplify.

Last: check.

Answer
simplest ✓

Your turn

Try this one yourself, then check:

Write 0.05
Show the answer
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