Table Of Contents
Last updated on March 6th, 2025
Numbers can be categorized into different types. A fraction is one of its kinds. It is 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, the numbers in decimal are expressed with a decimal point (.), for example, 90.375. We are going to learn how to convert a decimal to a fraction.
The answer for 90.375 as a fraction will be 361/4.
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, 90.375 is the number on the numerator and the base number 1 will be the denominator. Then, 90.375 becomes 90.375/1.
Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 90.375/1 × 1000/1000 = 90375/1000
Step 3: Here 25 is the GCD of 90375 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 25. 90375/1000 = 3615/40
Step 4: Here 5 is the GCD of 3615 and 40. Now, to further simplify, divide the numerator and denominator by 5. 3615/40 = 723/8
Step 5: Here 1 is the GCD of 723 and 8. The fraction is now in its simplest form.
Thus, 90.375 can be written as a fraction 723/8.