0.083333333 as a Fraction

Answer

The answer for 0.083333333 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 fraction for easy calculation. Here, 0.083333333 can be expressed as a repeating decimal with 0.08 followed by 3s repeating, so it is 0.08(3)/1 initially.

Step 2: To convert the repeating decimal to a fraction, first consider the non-repeating part and the repeating part separately. The non-repeating part is 0.08, which is 8/100. The repeating part is 0.003333..., which can be expressed as 1/300.

Step 3: Now, combine these two fractions by finding a common denominator. The fractions 8/100 and 1/300 can be combined as follows: 8/100 = 24/300 1/300 = 1/300 (24/300 + 1/300 = 25/300)

Step 4: Simplifying 25/300, we find that the GCD is 25. So, dividing both the numerator and the denominator by 25 gives us: 25/300 = 1/12

Thus, 0.083333333 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.

• 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.

• Repeating Decimal: A decimal in which one or more digits repeat infinitely.