171/60 as a Decimal and Mixed Number

171/60 as a decimal and mixed number expansion provides the detailed information about what is 171/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

171/60 as a Decimal
171/60 = 2.85
Hence,
171/60 as a decimal equals to 2.85
where,
171/60 is a given fraction,
The decimal expansion of 171/60 is 2.85

171/60 as a Mixed Number
171/60 = (120 + 51)/60
= 120/60 + 51/60
= 2 + 51/60
= 2 51/60
171/60 = 2 51/60

Hence,
171/60 as a mixed number is 2 ⁵¹/₆₀
where,
171/60 is a given fraction,
2 ⁵¹/₆₀ is the mixed number representation of 171/60.

The below work with steps provide the detailed information about how to convert fraction 171/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 171/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 171/60.

step 2 The numerator is greater than the denominator of the fraction 171/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 171/60
= 120 + 51/60
= (2 x 60) + 51/60

step 3 Make the above expression as individual fractions:
= (2 x 60)/60 + 51/60

step 4 Simplify the above expression:
= 2 x 60/60 + 51/60
= 2 + 51/60
= 2 + 17 x 3/20 x 3
= 2 + 17/20
2 + 17/20 can be written as a mixed number 2 ¹⁷/₂₀.


step 5 Find the decimal equivalent for the fractional part 17/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (17/20 x 5/5)
= 2 + 85/100

step 6 Simplify the above expression further:
= 2 + 0.85
= 2.85
171/60 = 2.85

Hence,
171/60 as a decimal is 2.85
171/60 as a mixed number is 2 ¹⁷/₂₀