83/84 as a Decimal

83/84 as a decimal expansion provides the detailed information about what is 83/84 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

83/84 as a Decimal
83/84 = 0.9881
Hence,
83/84 as a decimal equals to 0.9881
where,
83/84 is a given fraction,
The decimal expansion of 83/84 is 0.9881

83/84 as a Mixed Number
The given fraction 83/84 can't be represented as a mixed number since the numerator 83 of the given fraction is smaller than the denominator 84.

The below work with steps provide the detailed information about how to convert fraction 83/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 83/84

What to be found:
Find the decimal expansion of fraction 83/84.

step 2 The numerator is smaller than the denominator of the fraction 83/84, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 83/84.
= 83/84 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 83/84 x 1/10
= 830/84 x 1/10

step 4 Simplify the above expression further:
= 830/84 x 1/10
= 756 + 74/84 x 1/10
= ( 756/84 + 74/84) x 1/10
= (9 + 74/84 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 74/84 in the above expression:
= (9 + 74/84 ) x 1/10
= (9 + 0.881) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.881) x 1/10
= 9.881 x 1/10
= 9.881/10
83/84= 0.9881

Hence,
83/84 as a decimal is 0.9881