Table Of Contents
111 LearnersLast updated on March 11th, 2025
16.6666666667 as a Fraction
Numbers can be categorized into different types. 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. 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, 16.6666666667, we are going to learn how to convert a decimal to a fraction.
What is 16.6666666667 as a Fraction?
Answer
The answer for 16.6666666667 as a fraction will be 50/3.
Explanation
Converting a repeating decimal to a fraction involves several steps but can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 16.6666666667. Since this is a repeating decimal, it can be rewritten as x = 16.6̅.
Step 2: To eliminate the repeating decimal, multiply both sides by 10, which gives 10x = 166.6̅.
Step 3: Subtract the original equation (x = 16.6̅) from this new equation (10x = 166.6̅): 10x - x = 166.6̅ - 16.6̅ 9x = 150
Step 4: Solve for x by dividing both sides by 9: x = 150/9
Step 5: Simplify the fraction by dividing both the numerator and the denominator by the GCD, which is 3: 150/9 = 50/3
Thus, 16.6666666667 can be approximated as a fraction 50/3.
Important Glossaries for 16.6666666667 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
