0.999 as a Fraction

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

What is 0.999 as a Fraction?

$0.999 as a fraction$ Answer

The answer for 0.999 as a fraction is 1.

Explanation

Converting a repeating decimal to a fraction involves a bit of algebra. You can follow the steps mentioned below to find the answer.

Step 1: Let x equal the repeating decimal. Here, x = 0.999...

Step 2: Multiply both sides by 10 to shift the decimal point. 10x = 9.999...

Step 3: Subtract the original equation (x = 0.999...) from this new equation (10x = 9.999...): 10x - x = 9.999... - 0.999... 9x = 9

Step 4: Divide both sides by 9 to solve for x. x = 9/9 x = 1

Thus, 0.999 can be written as the fraction 1.

Important Glossaries for 0.999 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 that has one or more repeating digits after the decimal point.
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.