87/13 as a Decimal and Mixed Number

87/13 as a decimal and mixed number expansion provides the detailed information about what is 87/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

87/13 as a Decimal
87/13 = 6.6923
Hence,
87/13 as a decimal equals to 6.6923
where,
87/13 is a given fraction,
The decimal expansion of 87/13 is 6.6923

87/13 as a Mixed Number
87/13 = (78 + 9)/13
= 78/13 + 9/13
= 6 + 9/13
= 6 9/13
87/13 = 6 9/13

Hence,
87/13 as a mixed number is 6 ⁹/₁₃
where,
87/13 is a given fraction,
6 ⁹/₁₃ is the mixed number representation of 87/13.

The below work with steps provide the detailed information about how to convert fraction 87/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 87/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 87/13.

step 2 The numerator is greater than the denominator of the fraction 87/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 87/13
= 78 + 9/13
= (6 x 13) + 9/13

step 3 Make the above expression as individual fractions:
= (6 x 13)/13 + 9/13

step 4 Simplify the above expression:
= 6 x 13/13 + 9/13
= 6 + 9/13
6 + 9/13 can be written as a mixed number 6 ⁹/₁₃.


step 5 Find the decimal equivalent for the fractional part 9/13 in the above expression:
= 6 + 0.6923
= 6.6923
87/13 = 6.6923

Hence,
87/13 as a decimal is 6.6923
87/13 as a mixed number is 6 ⁹/₁₃