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119 LearnersLast updated on March 12th, 2025
5.66666666667 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, 5.66666666667, we are going to learn how to convert a decimal to a fraction.
What is 5.66666666667 as a Fraction?
Answer
The answer for 5.66666666667 as a fraction will be 17/3.
Explanation
Converting a repeating decimal to a fraction can be done by following a systematic approach. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 5.66666666667. Notice that the decimal part is repeating with the digit 6. To eliminate the repeating part, multiply the entire equation by 10 to shift the decimal: 10x = 56.6666666667.
Step 2: Now, subtract the original equation from this equation: 10x - x = 56.6666666667 - 5.66666666667, which simplifies to 9x = 51.
Step 3: Divide both sides by 9 to solve for x: x = 51/9 = 17/3.
Thus, 5.66666666667 can be written as a fraction 17/3.
Important Glossaries for 5.66666666667 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.
- Repeating Decimal: A decimal in which one or more digits repeat infinitely.
- 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.
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