0.8333333333333333 as a Fraction

Answer

The answer for 0.8333333333333333 as a fraction is 5/6.

Explanation

Converting a repeating decimal to a fraction requires understanding the repeating part. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 0.8333333333333333...

Step 2: Multiply x by 10 to shift the decimal point for the repeating part. 10x = 8.33333333333333...

Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 8.33333333333333... - 0.8333333333333333... 9x = 7.5

Step 4: Solve for x by dividing both sides by 9. x = 7.5 / 9

Step 5: Simplify the fraction. Multiply numerator and denominator by 2 to clear the decimal: x = (7.5 * 2) / (9 * 2) = 15/18

Step 6: Simplify further by dividing both the numerator and denominator by their GCD, which is 3. 15/18 = 5/6

Thus, 0.8333333333333333 can be written as a fraction 5/6.

• 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 a digit or group of digits repeats infinitely.