Table Of Contents
Last updated on March 5th, 2025
Numbers can be categorized into different types. Fractions are one of their kinds. They are always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal are expressed with a decimal point (.), for example, 30.875. We are going to learn how to convert a decimal to a fraction.
The answer for 30.875 as a fraction will be 30 7/8.
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, 30.875 is the number. Separate the whole number part and the decimal part. The whole number part is 30, and the decimal part is 0.875.
Step 2: Convert the decimal part to a fraction. To remove the decimal, multiply both the numerator and denominator by 1000 (because there are three decimal places). 0.875/1 × 1000/1000 = 875/1000
Step 3: Find the GCD of 875 and 1000, which is 125. Now, to make the fraction simpler, divide the numerator and denominator by 125. 875/1000 = 7/8
Step 4: Combine the whole number and the fractional part. The result will be 30 7/8.
Thus, 30.875 can be written as the mixed fraction 30 7/8.