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Last updated on March 7th, 2025
Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 3.6875. We are going to learn how to convert a decimal to a fraction.
The answer for 3.6875 as a fraction will be 59/16.
Converting a decimal to a fraction is a task that can be accomplished easily by following a few steps. Here's how you can do it:
Step 1: Firstly, convert the decimal number to a fraction for easy calculation. Here, 3.6875 is the number with 1 as the denominator. Then, 3.6875 becomes 3.6875/1.
Step 2: To eliminate the decimal from the fraction, you need to multiply both the numerator and the denominator by 10000 (because there are four decimal places). 3.6875/1 × 10000/10000 = 36875/10000
Step 3: The GCD of 36875 and 10000 is 625. Now, to simplify the fraction, divide the numerator and the denominator by 625. 36875/10000 = 59/16 Hence, 3.6875 is in the fraction form of 59/16.
Thus, 3.6875 can be written as a fraction 59/16.