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134 LearnersLast updated on March 8th, 2025
0.92307692307 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, 0.92307692307, we are going to learn how to convert a decimal to a fraction.
What is 0.92307692307 as a Fraction?
Answer
The answer for 0.92307692307 as a fraction is 12/13.
Explanation
Converting a repeating decimal to a fraction involves identifying the repeating part. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.92307692307...
Step 2: Multiply x by a power of 10 to move the decimal point right past the repeating part. Here, multiply by 100000000000: 100000000000x = 92307692307.692307...
Step 3: Subtract the original x from this result: 100000000000x - x = 92307692307.692307... - 0.92307692307...
Step 4: This gives: 99999999999x = 92307692306.7692307
Step 5: Solve for x: x = 92307692306.7692307 / 99999999999
Step 6: Simplify the fraction: x = 12/13
Thus, 0.92307692307 can be written as a fraction 12/13.
Important Glossaries for 0.92307692307 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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