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Last updated on March 26th, 2025
Numbers can be categorized into different types. A 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. The numbers in decimal are expressed with a decimal point (.), for example, 2.1667. We are going to learn how to convert a decimal to a fraction.
The answer for 2.1667 as a fraction will be 6501/3000.
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, 2.1667 is the number on the numerator and the base number 1 will be the denominator. Then, 2.1667 becomes 2.1667/1.
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). 2.1667/1 × 10000/10000 = 21667/10000
Step 3: Here 5 is the GCD of 21667 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 21667/10000 = 4333.4/2000 = 6501/3000 Hence, 2.1667 is in the form fraction of 6501/3000.
Thus, 2.1667 can be written as a fraction 6501/3000.