0.111111111111111 as a Fraction

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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, 0.111111111111111, we are going to learn how to convert a decimal to a fraction.

What is 0.111111111111111 as a Fraction?

$0.111111111111111 as a fraction$ Answer

The answer for 0.111111111111111 as a fraction will be 1/9.

Explanation

Converting a repeating decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Let x be the repeating decimal number. So, x = 0.111111111111111...

Step 2: Multiply x by 10 to shift the decimal point one place to the right. This gives us 10x = 1.111111111111111...

Step 3: Subtract the original number (x) from this result to eliminate the repeating part. 10x - x = 1.111111111111111... - 0.111111111111111... 9x = 1

Step 4: Solve for x by dividing both sides by 9. x = 1/9

Thus, 0.111111111111111 can be written as the fraction 1/9.

Important Glossaries for 0.111111111111111 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 numbers or sequence of numbers 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.