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108 LearnersLast updated on March 26th, 2025
0.8888888889 as a Fraction
Numbers can be categorized into different types. 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. 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, 0.8888888889, we are going to learn how to convert a decimal to a fraction.
What is 0.8888888889 as a Fraction?
Answer
The answer for 0.8888888889 as a fraction is approximately 8/9.
Explanation
Converting a repeating decimal to a fraction can be done by following specific steps. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.8888888889..., a repeating decimal where 8 is the repeating digit.
Step 2: Multiply x by 10 to shift the decimal point one place to the right: 10x = 8.888888889...
Step 3: Subtract the original equation from this new equation: 10x - x = 8.888888889... - 0.8888888889... 9x = 8
Step 4: Solve for x by dividing both sides by 9: x = 8/9
Therefore, 0.8888888889 can be approximately written as the fraction 8/9.
Important Glossaries for 0.8888888889 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 one or more digits repeat 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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