107 LearnersLast updated on May 26th, 2025
0.888888 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, 0.888888, we are going to learn how to convert a decimal to a fraction.
What is 0.888888 as a Fraction?
Answer
The answer for 0.888888 as a fraction will be 8/9.
Explanation
Converting a repeating decimal to a fraction can be achieved through a systematic approach. You can follow the steps mentioned below to find the answer.
Step 1: Let x equal the repeating decimal: x = 0.888888...
Step 2: Multiply both sides of the equation by 10 (the number of repeating digits determines the multiplication factor of 10) to shift the decimal point: 10x = 8.888888...
Step 3: Subtract the original equation (x = 0.888888...) from this new equation: 10x - x = 8.888888... - 0.888888...
Step 4: Simplify to find: 9x = 8
Step 5: Solve for x: x = 8/9
Hence, 0.888888 can be written as a fraction 8/9.
Important Glossaries for 0.888888 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 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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