0.0833333333 as a Fraction

Answer

The answer for 0.0833333333 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, 0.0833333333 is the number on the numerator and the base number 1 will be the denominator. Then, 0.0833333333 becomes 0.0833333333/1.

Step 2: Recognize that 0.0833333333 is a repeating decimal. To convert it into a fraction, let x = 0.0833333333...

Step 3: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 0.8333333333...

Step 4: Subtract the original equation from this equation: 10x - x = 0.8333333333... - 0.0833333333... 9x = 0.75

Step 5: Solve for x by dividing both sides by 9: x = 0.75/9 = 1/12

Thus, 0.0833333333 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 that has one or more repeating digits or a repeating pattern of digits.