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116 LearnersLast updated on March 5th, 2025
0.66666 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; numbers in decimal are expressed with a decimal point (.), for example, 0.66666. We are going to learn how to convert a repeating decimal to a fraction.
What is 0.66666 as a Fraction?
Answer
The answer for 0.66666 as a fraction will be 2/3.
Explanation
Converting a repeating decimal to a fraction can be done through a few steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.66666... (where the 6 repeats infinitely).
Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 6.66666...
Step 3: Now, subtract the original x from this equation to eliminate the repeating decimal: 10x - x = 6.66666... - 0.66666... 9x = 6
Step 4: Solve for x by dividing both sides by 9: x = 6/9
Step 5: Simplify the fraction by finding the GCD of 6 and 9, which is 3: 6/9 = 2/3
Thus, 0.66666 can be written as a fraction 2/3.
Important Glossaries for 0.66666 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 that has one or more repeating digits after the decimal point 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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