165/23 as a Decimal and Mixed Number

165/23 as a decimal and mixed number expansion provides the detailed information about what is 165/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/23 as a Decimal
165/23 = 7.1739
Hence,
165/23 as a decimal equals to 7.1739
where,
165/23 is a given fraction,
The decimal expansion of 165/23 is 7.1739

165/23 as a Mixed Number
165/23 = (161 + 4)/23
= 161/23 + 4/23
= 7 + 4/23
= 7 4/23
165/23 = 7 4/23

Hence,
165/23 as a mixed number is 7 ⁴/₂₃
where,
165/23 is a given fraction,
7 ⁴/₂₃ is the mixed number representation of 165/23.

The below work with steps provide the detailed information about how to convert fraction 165/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/23.

step 2 The numerator is greater than the denominator of the fraction 165/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/23
= 161 + 4/23
= (7 x 23) + 4/23

step 3 Make the above expression as individual fractions:
= (7 x 23)/23 + 4/23

step 4 Simplify the above expression:
= 7 x 23/23 + 4/23
= 7 + 4/23
7 + 4/23 can be written as a mixed number 7 ⁴/₂₃.


step 5 Find the decimal equivalent for the fractional part 4/23 in the above expression:
= 7 + 0.1739
= 7.1739
165/23 = 7.1739

Hence,
165/23 as a decimal is 7.1739
165/23 as a mixed number is 7 ⁴/₂₃