0.0833333 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, 0.0833333, we are going to learn how to convert a decimal to a fraction.

What is 0.0833333 as a Fraction?

$0.0833333 as a fraction$

Answer

The answer for 0.0833333 as a fraction will be 1/12.

Explanation

Converting a 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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 0.0833333 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.0833333 becomes 0.0833333/1.

Step 2: To accurately represent 0.0833333 as a fraction, note that it is a repeating decimal. Recognize that 0.0833333... can be expressed as 1/12. This is because 0.0833333... is equivalent to the repeating decimal 0.0833... (where 3 is the repeated digit).

Step 3: To convert this repeating decimal into a fraction, set x = 0.0833333..., multiply both sides by 10 to shift the decimal, then subtract to eliminate the repeating part. Solve the resulting equation to find x = 1/12.

Thus, 0.0833333 can be written as a fraction 1/12.

Important Glossaries for 0.0833333 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 one or more 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.