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123 LearnersLast updated on March 10th, 2025
5.666666667 as a Fraction
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, 5.666666667, we are going to learn how to convert a decimal to a fraction.
What is 5.666666667 as a Fraction?
Answer:
The answer for 5.666666667 as a fraction will be 17/3.
Explanation:
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, 5.666666667 is the number, which can be represented as 5 + 0.666666667.
Step 2: Recognize that 0.666666667 is a repeating decimal. It can be expressed as 2/3 in fractional form. Therefore, 5.666666667 is equivalent to 5 + 2/3.
Step 3: Convert the whole number 5 into a fraction with the same denominator as the fractional part: 5 = 15/3. Step 4: Add the fractions: 15/3 + 2/3 = 17/3.
Thus, 5.666666667 can be written as a fraction 17/3.
Important Glossaries for 5.666666667 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.
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