165/60 as a Decimal and Mixed Number

165/60 as a decimal and mixed number expansion provides the detailed information about what is 165/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/60 as a Decimal
165/60 = 2.75
Hence,
165/60 as a decimal equals to 2.75
where,
165/60 is a given fraction,
The decimal expansion of 165/60 is 2.75

165/60 as a Mixed Number
165/60 = (120 + 45)/60
= 120/60 + 45/60
= 2 + 45/60
= 2 45/60
165/60 = 2 45/60

Hence,
165/60 as a mixed number is 2 ⁴⁵/₆₀
where,
165/60 is a given fraction,
2 ⁴⁵/₆₀ is the mixed number representation of 165/60.

The below work with steps provide the detailed information about how to convert fraction 165/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/60.

step 2 The numerator is greater than the denominator of the fraction 165/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/60
= 120 + 45/60
= (2 x 60) + 45/60

step 3 Make the above expression as individual fractions:
= (2 x 60)/60 + 45/60

step 4 Simplify the above expression:
= 2 x 60/60 + 45/60
= 2 + 45/60
= 2 + 3 x 15/4 x 15
= 2 + 3/4
2 + 3/4 can be written as a mixed number 2 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (3/4 x 25/25)
= 2 + 75/100

step 6 Simplify the above expression further:
= 2 + 0.75
= 2.75
165/60 = 2.75

Hence,
165/60 as a decimal is 2.75
165/60 as a mixed number is 2 ³/₄