165/69 as a Decimal and Mixed Number

165/69 as a decimal and mixed number expansion provides the detailed information about what is 165/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/69 as a Decimal
165/69 = 2.3913
Hence,
165/69 as a decimal equals to 2.3913
where,
165/69 is a given fraction,
The decimal expansion of 165/69 is 2.3913

165/69 as a Mixed Number
165/69 = (138 + 27)/69
= 138/69 + 27/69
= 2 + 27/69
= 2 27/69
165/69 = 2 27/69

Hence,
165/69 as a mixed number is 2 ²⁷/₆₉
where,
165/69 is a given fraction,
2 ²⁷/₆₉ is the mixed number representation of 165/69.

The below work with steps provide the detailed information about how to convert fraction 165/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/69.

step 2 The numerator is greater than the denominator of the fraction 165/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/69
= 138 + 27/69
= (2 x 69) + 27/69

step 3 Make the above expression as individual fractions:
= (2 x 69)/69 + 27/69

step 4 Simplify the above expression:
= 2 x 69/69 + 27/69
= 2 + 27/69
= 2 + 9 x 3/23 x 3
= 2 + 9/23
2 + 9/23 can be written as a mixed number 2 ⁹/₂₃.


step 5 Find the decimal equivalent for the fractional part 9/23 in the above expression:
= 2 + 0.3913
= 2.3913
165/69 = 2.3913

Hence,
165/69 as a decimal is 2.3913
165/69 as a mixed number is 2 ⁹/₂₃