Table Of Contents
Last updated on March 6th, 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, decimals are expressed with a decimal point (.), For example, 1.16666, we are going to learn how to convert a decimal to a fraction.
The answer for 1.16666 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, 1.16666 is the number on the numerator and the base number 1 will be the denominator. Then, 1.16666 becomes 1.16666/1.
Step 2: To convert a repeating decimal to a fraction, set x = 1.16666... Multiply both sides by 10 to move the decimal point: 10x = 11.6666...
Step 3: Subtract the original equation from this new equation: 10x - x = 11.6666... - 1.1666... 9x = 10.5
Step 4: Solve for x by dividing both sides by 9: x = 10.5/9 = 21/18
Step 5: Simplify the fraction by dividing the numerator and denominator by 3: 21/18 = 7/6
Thus, 1.16666 can be written as a fraction 7/6.