165/117 as a Decimal and Mixed Number

165/117 as a decimal and mixed number expansion provides the detailed information about what is 165/117 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/117 as a Decimal
165/117 = 1.4103
Hence,
165/117 as a decimal equals to 1.4103
where,
165/117 is a given fraction,
The decimal expansion of 165/117 is 1.4103

165/117 as a Mixed Number
165/117 = (117 + 48)/117
= 117/117 + 48/117
= 1 + 48/117
= 1 48/117
165/117 = 1 48/117

Hence,
165/117 as a mixed number is 1 ⁴⁸/₁₁₇
where,
165/117 is a given fraction,
1 ⁴⁸/₁₁₇ is the mixed number representation of 165/117.

The below work with steps provide the detailed information about how to convert fraction 165/117 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/117

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/117.

step 2 The numerator is greater than the denominator of the fraction 165/117, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/117
= 117 + 48/117

step 3 Make the above expression as individual fractions:
= 117/117 + 48/117

step 4 Simplify the above expression:
= 1 x 117/117 + 48/117
= 1 + 48/117
= 1 + 16 x 3/39 x 3
= 1 + 16/39
1 + 16/39 can be written as a mixed number 1 ¹⁶/₃₉.


step 5 Find the decimal equivalent for the fractional part 16/39 in the above expression:
= 1 + 0.4103
= 1.4103
165/117 = 1.4103

Hence,
165/117 as a decimal is 1.4103
165/117 as a mixed number is 1 ¹⁶/₃₉