Table Of Contents
Last updated on March 7th, 2025
Numbers can be categorized into different types. A 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. 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, 1.6666666, we are going to learn how to convert a decimal to a fraction.
The answer for 1.6666666 as a fraction will be 5/3.
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, 1.6666666... has a repeating part of 6. To express this repeating decimal as a fraction, let x = 1.6666666...
Step 2: Multiply both sides by 10 to shift the decimal point: 10x = 16.6666666...
Step 3: Subtract the original equation (x = 1.6666666...) from this new equation: 10x - x = 16.6666666... - 1.6666666... 9x = 15
Step 4: Solve for x by dividing both sides by 9: x = 15/9
Step 5: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 3: 15/9 = 5/3
Thus, 1.6666666 can be written as a fraction 5/3.