Write 7/4 as a decimal

Step by step

The question

Question: write 7/4 as a decimal.

1 Make the bottom 10, 100 or 1000

A decimal is tenths, hundredths, thousandths.

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

4 times 25 is 100.

We multiply the top and the bottom by 25.

25/25 is 1, so the value stays the same.

7 times 25 is 175.

So we get 175/100.

2 Write the decimal

100 has 2 zeros.

So the decimal has 2 digits after the point.

175 hundredths is 1.75.

3 Check

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

1.75 times 4.

Forget the points: 175 times 4 is 700.

The numbers have 2 digits after the point.

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

We get 7, the top.

So the answer is right!

Let's look back.

First: make the bottom 10, 100 or 1000.

Then: write the decimal.

Last: check.