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107 LearnersLast updated on March 24th, 2025
6.666666667 as a Fraction
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, 6.666666667. We are going to learn how to convert a decimal to a fraction.
What is 6.666666667 as a Fraction?
Answer
The answer for 6.666666667 as a fraction is 20/3.
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: Identify the repeating part of the decimal. Here, 6.666666667 can be seen as 6 + 0.666666667.
Step 2: Assume x = 0.666666667. Since the repeating part is 6, multiply by 10 to shift the decimal: 10x = 6.66666667.
Step 3: Subtract the original x from this result: 10x - x = 6.66666667 - 0.66666667, 9x = 6. Therefore, x = 6/9 = 2/3.
Step 4: Add the whole number part back to the fraction: 6 + 2/3 = 18/3 + 2/3 = 20/3.
Thus, 6.666666667 can be written as the fraction 20/3.
Important Glossaries for 6.666666667 as a Fraction
- Fraction: A numerical quantity that represents a part of a whole.
- Decimal: A number expressed in the base ten and includes a decimal point to separate the whole part from the fractional part.
- Repeating Decimal: A decimal with one or more repeating digits after the decimal point.
- 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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