Table Of Contents
Last updated on March 10th, 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, the numbers in decimal are expressed with a decimal point (.), For example, 1.16666667, we are going to learn how to convert a decimal to a fraction.
The answer for 1.16666667 as a fraction will be 7/6.
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 a fraction for easy calculation. Here, 1.16666667 is the number on the numerator and the base number 1 will be the denominator. Then, 1.16666667 becomes 1.16666667/1.
Step 2: Identify the repeating part of the decimal. Here, 0.16666667 has a repeating part of 6. We express the repeating decimal as a fraction. Let x = 0.16666667. Then, 10x = 1.6666667. Subtract the two equations: 10x - x = 1.6666667 - 0.16666667, resulting in 9x = 1.5 or x = 1.5/9, which simplifies to 1/6.
Step 3: Add the whole number and the fractional part: 1 + 1/6 = 7/6.
Thus, 1.16666667 can be written as a fraction 7/6.