Is 0.75 rational or irrational

Step by step

The question

Question: is 0.75 rational or irrational?

Rational means: it can be written as a fraction, with whole numbers on top and at the bottom.

Then its decimal stops, or repeats for ever.

Irrational means: no fraction works.

Its decimal never stops and never repeats.

1 Write it as a fraction

The last digit is in the hundredths.

So we write it over 100.

0.75 is 75/100.

That makes simpler: 3/4.

So 0.75 is rational.

Its decimal stops, and it is a fraction of whole numbers.

2 Check

Let's check: 3 divided by 4 is 0.75.

We get the decimal back.

So the answer is right!

Let's look back.

First: write it as a fraction.

Last: check.