Table Of Contents
Last updated on March 7th, 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, 14.875. We are going to learn how to convert a decimal to a fraction.
The answer for 14.875 as a fraction will be 119/8.
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, 14.875 is the number with a whole part and a decimal part. Convert it to a mixed number: 14 + 0.875/1.
Step 2: To remove the decimal from the fraction part, you need to multiply both the numerator and denominator of 0.875 by 1000 (because there are 3 decimal places). 0.875/1 × 1000/1000 = 875/1000
Step 3: Simplify the fraction 875/1000. Here, 125 is the GCD of 875 and 1000. Divide the numerator and denominator by 125. 875/1000 = 7/8
Step 4: Combine the whole number and the simplified fraction: 14 + 7/8, which can be written as an improper fraction: (14*8 + 7)/8 = 119/8.
Thus, 14.875 can be written as a fraction 119/8.