Table Of Contents
Last updated on March 7th, 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, 1.666666, we are going to learn how to convert a decimal to a fraction.
The answer for 1.666666 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: Firstly, any repeating decimal should be expressed in fractional form. Here, 1.666666 can be written as 1.6̅, which indicates that 6 repeats indefinitely. We can express this as a fraction using algebra.
Step 2: Let x = 1.666666... Since the decimal repeats every digit, multiply x by 10 to move the repeating part. 10x = 16.666666...
Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 16.666666... - 1.666666... 9x = 15
Step 4: Solve for x by dividing both sides by 9. x = 15/9
Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 15/9 = 5/3
Thus, 1.666666 can be written as a fraction 5/3.