Table Of Contents
Last updated on March 11th, 2025
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.), for example, 30.4. We are going to learn how to convert a decimal to a fraction.
The answer for 30.4 as a fraction will be 152/5.
Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 30.4 is the number on the numerator and the base number 1 will be the denominator. Then, 30.4 becomes 30.4/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 30.4/1 × 10/10 = 304/10
Step 3: Here 2 is the GCD of 304 and 10. Now, to make the fraction simpler, divide the numerator and denominator by 2. 304/10 = 152/5 hence, 30.4 is in the form fraction of 152/5
Thus, 30.4 can be written as a fraction 152/5.