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105 LearnersLast updated on March 24th, 2025
6.66666 as a Fraction
Numbers can be categorized into different types. 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. 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, 6.66666. We are going to learn how to convert a repeating decimal to a fraction.
What is 6.66666 as a Fraction?
Answer
The answer for 6.66666 as a fraction will be 20/3.
Explanation
Converting a repeating decimal to a fraction can be done by following these steps:
Step 1: Let x = 6.66666...
Step 2: Multiply both sides by 10 to eliminate the repeating part to the right of the decimal. 10x = 66.66666...
Step 3: Subtract the original equation (Step 1) from the equation in Step 2. 10x - x = 66.66666... - 6.66666... 9x = 60
Step 4: Solve for x by dividing both sides by 9. x = 60/9 Step 5: Simplify the fraction by finding the GCD of 60 and 9, which is 3. Divide both the numerator and the denominator by 3. 60/9 = 20/3
Thus, 6.66666 can be written as a fraction 20/3.
Important Glossaries for 6.66666 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 a digit or group of digits repeats 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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