165/108 as a Decimal and Mixed Number

165/108 as a decimal and mixed number expansion provides the detailed information about what is 165/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/108 as a Decimal
165/108 = 1.5278
Hence,
165/108 as a decimal equals to 1.5278
where,
165/108 is a given fraction,
The decimal expansion of 165/108 is 1.5278

165/108 as a Mixed Number
165/108 = (108 + 57)/108
= 108/108 + 57/108
= 1 + 57/108
= 1 57/108
165/108 = 1 57/108

Hence,
165/108 as a mixed number is 1 ⁵⁷/₁₀₈
where,
165/108 is a given fraction,
1 ⁵⁷/₁₀₈ is the mixed number representation of 165/108.

The below work with steps provide the detailed information about how to convert fraction 165/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/108.

step 2 The numerator is greater than the denominator of the fraction 165/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/108
= 108 + 57/108

step 3 Make the above expression as individual fractions:
= 108/108 + 57/108

step 4 Simplify the above expression:
= 1 x 108/108 + 57/108
= 1 + 57/108
= 1 + 19 x 3/36 x 3
= 1 + 19/36
1 + 19/36 can be written as a mixed number 1 ¹⁹/₃₆.


step 5 Find the decimal equivalent for the fractional part 19/36 in the above expression:
= 1 + 0.5278
= 1.5278
165/108 = 1.5278

Hence,
165/108 as a decimal is 1.5278
165/108 as a mixed number is 1 ¹⁹/₃₆