165/30 as a Decimal and Mixed Number

165/30 as a decimal and mixed number expansion provides the detailed information about what is 165/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/30 as a Decimal
165/30 = 5.5
Hence,
165/30 as a decimal equals to 5.5
where,
165/30 is a given fraction,
The decimal expansion of 165/30 is 5.5

165/30 as a Mixed Number
165/30 = (150 + 15)/30
= 150/30 + 15/30
= 5 + 15/30
= 5 15/30
165/30 = 5 15/30

Hence,
165/30 as a mixed number is 5 ¹⁵/₃₀
where,
165/30 is a given fraction,
5 ¹⁵/₃₀ is the mixed number representation of 165/30.

The below work with steps provide the detailed information about how to convert fraction 165/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/30.

step 2 The numerator is greater than the denominator of the fraction 165/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/30
= 150 + 15/30
= (5 x 30) + 15/30

step 3 Make the above expression as individual fractions:
= (5 x 30)/30 + 15/30

step 4 Simplify the above expression:
= 5 x 30/30 + 15/30
= 5 + 15/30
= 5 + 1 x 15/2 x 15
= 5 + 1/2
5 + 1/2 can be written as a mixed number 5 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 5 + (1/2 x 5/5)
= 5 + 5/10

step 6 Simplify the above expression further:
= 5 + 0.5
= 5.5
165/30 = 5.5

Hence,
165/30 as a decimal is 5.5
165/30 as a mixed number is 5 ¹/₂