87/60 as a decimal and mixed number expansion provides the detailed information about what is 87/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
87/60 as a Decimal
87/60 = 1.45
Hence,
87/60 as a decimal equals to 1.45
where,
87/60 is a given fraction,
The decimal expansion of 87/60 is 1.45
87/60 as a Mixed Number
87/60 = (60 + 27)/60
= 60/60 + 27/60
= 1 + 27/60
= 1 27/60
87/60 = 1 27/60
Hence,
87/60 as a mixed number is 1 27/60
where,
87/60 is a given fraction,
1 27/60 is the mixed number representation of 87/60.
The below work with steps provide the detailed information about how to convert fraction 87/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 87/60
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 87/60.
step 2 The numerator is greater than the denominator of the fraction 87/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 87/60
= 60 + 27/60
step 3 Make the above expression as individual fractions:
= 60/60 + 27/60
step 4 Simplify the above expression:
= 1 x 60/60 + 27/60
= 1 + 27/60
= 1 + 9 x 3/20 x 3
= 1 + 9/20
1 + 9/20 can be written as a mixed number 1 9/20.
step 5 Find the decimal equivalent for the fractional part 9/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 1 + (9/20 x 5/5)
= 1 + 45/100
step 6 Simplify the above expression further:
= 1 + 0.45
= 1.45
87/60 = 1.45
Hence,
87/60 as a decimal is 1.45
87/60 as a mixed number is 1 9/20