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Write 9/20 as a decimal

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

Step by step

The question

Question: write 9/20 as a decimal.

920

1 Make the bottom 10, 100 or 1000

A decimal is tenths, hundredths, thousandths.

So we want a bottom of 10, 100 or 1000.

20 times 5 is 100.

20 × 5 = 100

We multiply the top and the bottom by 5.

5/5 is 1, so the value stays the same.

= 9 × 520 × 5

9 times 5 is 45.

So we get 45/100.

= 45100

2 Write the decimal

100 has 2 zeros.

So the decimal has 2 digits after the point.

100: 2 zeros → 2 digits after the point

45 hundredths is 0.45.

= 0.45

3 Check

Let's check: the decimal times the bottom should give the top.

0.45 times 20.

Check: 0.45 × 20

Forget the points: 45 times 20 is 900.

The numbers have 2 digits after the point.

So the answer has 2 too: 9.00, which is 9.

45 × 20 = 900 → 9.00

We get 9, the top.

So the answer is right!

0.45 × 20 = 9

Let's look back.

First: make the bottom 10, 100 or 1000.

Then: write the decimal.

Last: check.

Answer
= 0.45

Your turn

Try this one yourself, then check:

825
Show the answer
0.32

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