Which is bigger, 3/4 or 0.7

Step by step

The question

Question: which is bigger, 3/4 or 0.7?

1 Write it as a decimal

To compare, we write every number the same way: as a decimal.

A decimal is tenths, hundredths or thousandths.

4 times 25 is 100.

So we multiply the top and the bottom by 25.

75 hundredths is 0.75.

So 3/4 is 0.75.

2 Same number of digits

Zeros at the end of a decimal do not change it: 0.7 is the same as 0.70.

So we give every number 2 digits after the point.

3 Compare

Now both have 2 digits after the point.

So we can forget the point and compare them like whole numbers: 70 < 75.

4 Write the answer

Now with the numbers as they were given: 0.7 < 3/4.

So 3/4 is bigger.

5 Check

Let's check on a number line.

Smaller numbers are further to the left.

We put a dot for each number.

From left to right: 0.7, 3/4.

The same order.

So the answer is right!

Let's look back.

First: write it as a decimal.

Then: same number of digits.

Then: compare.

Then: write the answer.

Last: check.