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Write 7/25 as a decimal

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

Step by step

The question

Question: write 7/25 as a decimal.

725

1 Make the bottom 10, 100 or 1000

A decimal is tenths, hundredths, thousandths.

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

25 times 4 is 100.

25 × 4 = 100

We multiply the top and the bottom by 4.

4/4 is 1, so the value stays the same.

= 7 × 425 × 4

7 times 4 is 28.

So we get 28/100.

= 28100

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

28 hundredths is 0.28.

= 0.28

3 Check

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

0.28 times 25.

Check: 0.28 × 25

Forget the points: 28 times 25 is 700.

The numbers have 2 digits after the point.

So the answer has 2 too: 7.00, which is 7.

28 × 25 = 700 → 7.00

We get 7, the top.

So the answer is right!

0.28 × 25 = 7

Let's look back.

First: make the bottom 10, 100 or 1000.

Then: write the decimal.

Last: check.

Answer
= 0.28

Your turn

Try this one yourself, then check:

625
Show the answer
0.24

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