How to Write a Decimal As a Fraction in Simplest Form?

All fractions consist of a numerator and a denominator. A decimal number can be defined as a number whose whole number part and the fractional part are separated by a decimal point.

Answer: We can write any decimal by multiplying the numerator and denominator with 10^x, where x is the number of digits after the decimal.

Let us proceed step by step.

Explanation:

We can understand this better by taking a suitable example.

Let us consider a decimal number 2.5

To express 2.5 as in a fraction, we need to write the given decimal to fraction form, that is x/y form, where x and y are integers and y is not 0.

Hence, we divide the number by 1, 2.5 / 1

Now, we have to multiply and divide 2.5 / 1 by 10. Hence, 2.5/1 × 10/10 = 25/10

This fraction of 25/10 can be further be simplified to 5/2.

So, 2.5 as a fraction is equal to 5/2.

We also can use Cuemath's decimal to fraction calculator to verify our answer.

Hence, 2.5 as a fraction can be written as 5/2. We can write any decimal by multiplying the numerator and denominator with 10^x,  where x is the number of digits after the decimal.