Table Of Contents
Last updated on March 24th, 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, 8.8125, we are going to learn how to convert a decimal to a fraction.
The answer for 8.8125 as a fraction will be 281/32.
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 fraction for easy calculation. Here, 8.8125 is the number on the numerator and the base number 1 will be the denominator. Then, 8.8125 becomes 8.8125/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 8.8125/1 × 10000/10000 = 88125/10000
Step 3: Here 125 is the GCD of 88125 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 88125/10000 = 705/800 = 141/160
Step 4: Further simplify by dividing the numerator and denominator by 5. 141/160 = 141/160
Step 5: Finally, write it as a mixed fraction. 141/160 = 281/32
Thus, 8.8125 can be written as a fraction 281/32.