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Last updated on March 6th, 2025
Numbers can be categorized into different types. 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. Fractions represent 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 (e.g., 7.8125). We are going to learn how to convert a decimal to a fraction.
The answer for 7.8125 as a fraction is 125/16.
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, 7.8125 is the number in the numerator and the base number 1 will be the denominator. Then, 7.8125 becomes 7.8125/1
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). 7.8125/1 × 10000/10000 = 78125/10000
Step 3: Here, 625 is the GCD of 78125 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 625. 78125/10000 = 125/16 Hence, 7.8125 is in the fraction form of 125/16.
Thus, 7.8125 can be written as a fraction 125/16.