67/84 as a decimal expansion provides the detailed information about what is 67/84 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
67/84 as a Decimal Expansion
67/84 = 0.7976
Hence,
67/84 as a decimal equals to 0.7976
where,
67/84 is a given fraction,
The decimal expansion of 67/84 is 0.7976
67/84 as a Mixed Number
The given fraction 67/84 can't be represented as a mixed number since the numerator 67 of the given fraction is smaller than the denominator 84.
The below work with steps provide the detailed information about how to convert fraction 67/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 67/84
What to be found:
Find the decimal expansion of fraction 67/84.
step 2 The numerator is smaller than the denominator of the fraction 67/84, 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 67/84.
= 67/84 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 67/84 x 1/10
= 670/84 x 1/10
step 4 Simplify the above expression further:
= 670/84 x 1/10
= 588 + 82/84 x 1/10
= ( 588/84 + 82/84) x 1/10
= (7 + 82/84 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 82/84 in the above expression:
= (7 + 82/84 ) x 1/10
= (7 + 0.976) x 1/10
step 6 Simplify the above expression further:
= (7 + 0.976) x 1/10
= 7.976 x 1/10
= 7.976/10
67/84= 0.7976
Hence,
67/84 as a decimal is 0.7976