0.88888 as a Fraction

Professor Greenline Explaining Math Concepts

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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, 0.88888. We are going to learn how to convert a repeating decimal to a fraction.

What is 0.88888 as a Fraction?

$0.88888 as a fraction$

Answer

The answer for 0.88888 as a fraction is 8/9.

Explanation

Converting a repeating decimal to a fraction can be done by following these steps:

Step 1: Let x = 0.88888...

Step 2: Multiply both sides of the equation by 10 (since there's one repeating digit) to shift the decimal point: 10x = 8.88888...

Step 3: Subtract the original x from this new equation: 10x - x = 8.88888... - 0.88888... 9x = 8

Step 4: Solve for x by dividing both sides by 9: x = 8/9

Thus, 0.88888 can be written as a fraction 8/9.

Important Glossaries for 0.88888 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.
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.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.