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Last updated on March 6th, 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 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, 1.667. We are going to learn how to convert a decimal to a fraction.
The answer for 1.667 as a fraction will be 5/3 or 1 2/3 in mixed number form.
Converting a decimal to a fraction can be a straightforward process. 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, 1.667 is the number on the numerator, and the base number 1 will be the denominator. Then, 1.667 becomes 1.667/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 1.667/1 × 1000/1000 = 1667/1000
Step 3: Here, 333 is the GCD of 1667 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 333. 1667/1000 = 5/3 Hence, 1.667 is in the form of a fraction as 5/3, which can also be expressed as the mixed number 1 2/3.
Thus, 1.667 can be written as a fraction 5/3 or as a mixed number 1 2/3.