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Last updated on March 8th, 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 both whole and fractional parts. Decimals represent the fractional part of numbers. For example, 1/2. The numbers in decimal are expressed with a decimal point (.), for example, 0.32142857142. We are going to learn how to convert a decimal to a fraction.
The answer for 0.32142857142 as a fraction will be 9/28.
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, 0.32142857142 is the number on the numerator and the base number 1 will be the denominator. Then, 0.32142857142 becomes 0.32142857142/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100,000,000,000 (because there are 11 decimal places). 0.32142857142/1 × 100,000,000,000/100,000,000,000 = 32,142,857,142/100,000,000,000
Step 3: Here 3,571,428,571 is the GCD of 32,142,857,142 and 100,000,000,000. Now, to make the fraction simpler, divide the numerator and denominator by 3,571,428,571. 32,142,857,142/100,000,000,000 = 9/28 Hence, 0.32142857142 is in the fraction form of 9/28.
Thus, 0.32142857142 can be written as a fraction 9/28.