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113 LearnersLast updated on March 10th, 2025
0.888888889 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, 0.888888889, we are going to learn how to convert a decimal to a fraction.
What is 0.888888889 as a Fraction?
Answer:
The answer for 0.888888889 as a fraction will be 8/9.
Explanation:
Converting a repeating decimal to a fraction can be done easily by following these steps.
Step 1: Let x = 0.888888889. Since the decimal repeats every 9 digits, multiply x by 1,000,000,000 to shift the decimal point: 1,000,000,000x = 888,888,889.0
Step 2: Subtract the original equation from this new equation to eliminate the repeating decimal: 1,000,000,000x - x = 888,888,889.0 - 0.888888889 999,999,999x = 888,888,888.111111111
Step 3: Solve for x by dividing both sides by 999,999,999: x = 888,888,888.111111111 / 999,999,999
Step 4: Simplify the fraction. The GCD of 888,888,888 and 999,999,999 is 111,111,111. 888,888,888 / 999,999,999 = 8/9
Thus, 0.888888889 can be written as a fraction 8/9.
Important Glossaries for 0.888888889 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 a 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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