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Write 4/5 as a decimal

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

Step by step

The question

Question: write 4/5 as a decimal.

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1 Make the bottom 10, 100 or 1000

A decimal is tenths, hundredths, thousandths.

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

5 times 2 is 10.

5 × 2 = 10

We multiply the top and the bottom by 2.

2/2 is 1, so the value stays the same.

= 4 × 25 × 2

4 times 2 is 8.

So we get 8/10.

= 810

2 Write the decimal

10 has 1 zero.

So the decimal has 1 digit after the point.

10: 1 zero → 1 digit after the point

8 tenths is 0.8.

= 0.8

3 Check

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

0.8 times 5.

Check: 0.8 × 5

Forget the points: 8 times 5 is 40.

The numbers have 1 digit after the point.

So the answer has 1 too: 4.0, which is 4.

8 × 5 = 40 → 4.0

We get 4, the top.

So the answer is right!

0.8 × 5 = 4

Let's look back.

First: make the bottom 10, 100 or 1000.

Then: write the decimal.

Last: check.

Answer
= 0.8

Your turn

Try this one yourself, then check:

35
Show the answer
0.6

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