Last updated on May 26th, 2025
Numbers can be categorized into different types. 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. 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, 0.66666667, we are going to learn how to convert a decimal to a fraction.
The answer for 0.66666667 as a fraction will be 2/3.
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 fraction for easy calculation. Here, 0.66666667 is the number on the numerator and the base number 1 will be the denominator. Then, 0.66666667 becomes 0.66666667/1.
Step 2: To remove the repeating decimal from a fraction, recognize that 0.66666667 is a repeating decimal with the digit 6 repeating infinitely. We express it as 0.6̅.
Step 3: For a repeating decimal like 0.6̅, we can set x = 0.6̅. Then, 10x = 6.6̅. Subtracting these equations gives 9x = 6, so x = 6/9.
Step 4: Simplify the fraction 6/9 by dividing both the numerator and the denominator by their GCD, which is 3. 6/9 = 2/3
Thus, 0.66666667 can be written as a fraction 2/3.