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Last updated on March 5th, 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. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal are expressed with a decimal point (.), for example, 0.0078125. We are going to learn how to convert a decimal to a fraction.
The answer for 0.0078125 as a fraction is 1/128.
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, 0.0078125 is the number on the numerator and the base number 1 will be the denominator. Then, 0.0078125 becomes 0.0078125/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000000 (because there are 7 decimal places). 0.0078125/1 × 10000000/10000000 = 78125/10000000
Step 3: Here, 78125 and 10000000 have a GCD of 78125.
Now, to make the fraction simpler, divide the numerator and denominator by 78125. 78125/10000000 = 1/128
Hence, 0.0078125 in the form of a fraction is 1/128. Thus, 0.0078125 can be written as a fraction 1/128.