Table Of Contents
Last updated on March 8th, 2025
Numbers can be categorized into different types. A fraction is one of its kinds. 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 are expressed with a decimal point (.), for example, 0.777777778. We are going to learn how to convert a decimal to a fraction.
The answer for 0.777777778 as a fraction will be 7/9.
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 repeating decimal number should be converted into a fraction for easy calculation. Here, let x = 0.777777778.
Step 2: Multiply both sides by 10 to move one digit before the decimal, i.e., 10x = 7.77777778.
Step 3: Subtract the original equation (x = 0.777777778) from this new equation (10x = 7.77777778) to eliminate the repeating part: 10x - x = 7.77777778 - 0.777777778 9x = 7
Step 4: Solve for x by dividing both sides by 9: x = 7/9
Thus, 0.777777778 can be written as a fraction 7/9.