Table Of Contents
Last updated on March 24th, 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, 2.6666666667, we are going to learn how to convert a decimal to a fraction.
The answer for 2.6666666667 as a fraction will be 8/3.
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: Identify the repeating part of the decimal. Here, 2.6666666667 has the repeating part "6".
Step 2: Let x = 2.6666666667. Multiply both sides by 10 to move the decimal point one place to the right. 10x = 26.666666667
Step 3: Now subtract the original number from this equation to remove the repeating part. 10x - x = 26.666666667 - 2.6666666667 9x = 24
Step 4: Solve for x by dividing both sides by 9. x = 24/9
Step 5: Simplify the fraction. The GCD of 24 and 9 is 3. Divide both the numerator and denominator by 3. 24/9 = 8/3
Thus, 2.6666666667 can be written as a fraction 8/3.