87/12 as a Decimal and Mixed Number

87/12 as a decimal and mixed number expansion provides the detailed information about what is 87/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

87/12 as a Decimal
87/12 = 7.25
Hence,
87/12 as a decimal equals to 7.25
where,
87/12 is a given fraction,
The decimal expansion of 87/12 is 7.25

87/12 as a Mixed Number
87/12 = (84 + 3)/12
= 84/12 + 3/12
= 7 + 3/12
= 7 3/12
87/12 = 7 3/12

Hence,
87/12 as a mixed number is 7 ³/₁₂
where,
87/12 is a given fraction,
7 ³/₁₂ is the mixed number representation of 87/12.

The below work with steps provide the detailed information about how to convert fraction 87/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 87/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 87/12.

step 2 The numerator is greater than the denominator of the fraction 87/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 87/12
= 84 + 3/12
= (7 x 12) + 3/12

step 3 Make the above expression as individual fractions:
= (7 x 12)/12 + 3/12

step 4 Simplify the above expression:
= 7 x 12/12 + 3/12
= 7 + 3/12
= 7 + 1 x 3/4 x 3
= 7 + 1/4
7 + 1/4 can be written as a mixed number 7 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 7 + (1/4 x 25/25)
= 7 + 25/100

step 6 Simplify the above expression further:
= 7 + 0.25
= 7.25
87/12 = 7.25

Hence,
87/12 as a decimal is 7.25
87/12 as a mixed number is 7 ¹/₄