Last updated on May 29th, 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, 0.666666, we are going to learn how to convert a decimal to a fraction.
The answer for 0.666666 as a fraction will be 2/3.
Converting a repeating decimal to a fraction involves a few steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.666666...
Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 6.666666...
Step 3: Subtract the original equation (Step 1) from the new equation (Step 2) to eliminate the repeating part: 10x - x = 6.666666... - 0.666666... 9x = 6
Step 4: Solve for x by dividing both sides by 9: x = 6/9
Step 5: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 3 in this case: 6/9 = 2/3
Thus, 0.666666 can be written as a fraction 2/3.