0.08333333333 as a Fraction

Answer

The answer for 0.08333333333 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, convert the repeating decimal to a fraction for easy calculation. Here, 0.08333333333 is a repeating decimal. Let's denote it as x: x = 0.08333333333...

Step 2: Multiply x by 100 to shift the decimal point two places to the right, giving: 100x = 8.333333333...

Step 3: Subtract x from 100x to eliminate the repeating part: 100x - x = 8.333333333... - 0.08333333333... 99x = 8.25

Step 4: Solve for x by dividing both sides by 99: x = 8.25 / 99

Step 5: Simplify the fraction. Convert 8.25 into a fraction: 8.25 = 33/4

Step 6: Divide both the numerator and the denominator by 33: (33/4) / 99 = 1/12

Thus, 0.08333333333 can be written as a fraction 1/12.

• 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 fraction 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.