0.08333333 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, 0.08333333, we are going to learn how to convert a decimal to a fraction.

What is 0.08333333 as a Fraction?

$0.08333333 as a fraction$

Answer

The answer for 0.08333333 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, 0.08333333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.08333333 becomes 0.08333333/1.

Step 2: Since 0.08333333 is a repeating decimal (0.08333333...), we can express it as a fraction. Let x = 0.08333333...

Step 3: Multiply both sides of the equation by 100000000 to move the decimal point 8 places to the right: 100000000x = 8333333.3...

Step 4: Subtract the original x from the result to eliminate the repeating decimals: 100000000x - x = 8333333.3... - 0.08333333... 99999999x = 8333333.3...

Step 5: Solve for x by dividing both sides by 99999999: x = 8333333/99999999

Step 6: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 833333: 8333333/99999999 = 1/12

Thus, 0.08333333 can be written as a fraction 1/12.

Important Glossaries for 0.08333333 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.