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Last updated on March 10th, 2025
Numbers can be categorized into different types. A fraction is one of its kind. 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, 66.6667. We are going to learn how to convert a decimal to a fraction.
Answer The answer for 66.6667 as a fraction will be 200/3. Explanation Converting a decimal to a fraction is a task 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, 66.6667 is the number on the numerator and the base number 1 will be the denominator. Then, 66.6667 becomes 66.6667/1. 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). 66.6667/1 × 10000/10000 = 666667/10000 Step 3: Here 3333 is the GCD of 666667 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 3333. 666667/10000 = 200/3 Thus, 66.6667 can be written as a fraction 200/3.
Fraction: A numerical quantity that is not a whole number, representing a part of a whole. Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part. Numerator: The top part of a fraction, indicating how many parts of the whole are being considered. Denominator: The bottom part of a fraction, showing how many parts make up a whole. Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.