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, 11.8125, we are going to learn how to convert a decimal to a fraction.
The answer for 11.8125 as a fraction will be 47/4.
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 fraction for easy calculation. Here, 11.8125 is the number on the numerator and the base number 1 will be the denominator. Then, 11.8125 becomes 11.8125/1.
Step 2: To remove decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are four decimal places). 11.8125/1 × 10000/10000 = 118125/10000
Step 3: Here 125 is the GCD of 118125 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 118125/10000 = 945/80
Step 4: Simplify the fraction further by dividing by 5, which is the GCD of 945 and 80. 945/80 = 189/16
Step 5: Since 189/16 is an improper fraction, convert it to a mixed number. 189 ÷ 16 = 11 with a remainder of 13, so 189/16 = 11 13/16
Thus, 11.8125 can be written as a fraction 47/4.