Write 6/8 as a decimal

Step by step

The question

Question: write 6/8 as a decimal.

1 Simplify first

6 and 8 can both be divided by 2.

Smaller numbers are easier.

So it is 3/4.

2 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.

3 times 25 is 75.

So we get 75/100.

3 Write the decimal

100 has 2 zeros.

So the decimal has 2 digits after the point.

75 hundredths is 0.75.

4 Check

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

0.75 times 8.

Forget the points: 75 times 8 is 600.

The numbers have 2 digits after the point.

So the answer has 2 too: 6.00, which is 6.

We get 6, the top.

So the answer is right!

Let's look back.

First: simplify first.

Then: make the bottom 10, 100 or 1000.

Then: write the decimal.

Last: check.