11.3333333333 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, 11.3333333333, we are going to learn how to convert a decimal to a fraction.

What is 11.3333333333 as a Fraction?

$11.3333333333 as a fraction$ Answer

The answer for 11.3333333333 as a fraction will be 34/3.

Explanation

Converting a repeating decimal to a fraction can be managed with a simple process. You can follow the steps mentioned below to find the answer.

Step 1: Let x equal the repeating decimal: x = 11.3333333333...

Step 2: Multiply x by 10 to shift the decimal point to the right of the repeating sequence: 10x = 113.3333333333...

Step 3: Set up an equation to eliminate the repeating part by subtracting the original equation from this new equation: 10x - x = 113.3333333333... - 11.3333333333... 9x = 102

Step 4: Solve for x by dividing both sides by 9: x = 102/9

Step 5: Simplify the fraction if necessary. In this case, 102/9 is already in its simplest form.

Thus, 11.3333333333 can be written as a fraction 34/3.

Important Glossaries for 11.3333333333 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 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.