165/36 as a Decimal and Mixed Number

165/36 as a decimal and mixed number expansion provides the detailed information about what is 165/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

165/36 as a Decimal
165/36 = 4.5833
Hence,
165/36 as a decimal equals to 4.5833
where,
165/36 is a given fraction,
The decimal expansion of 165/36 is 4.5833

165/36 as a Mixed Number
165/36 = (144 + 21)/36
= 144/36 + 21/36
= 4 + 21/36
= 4 21/36
165/36 = 4 21/36

Hence,
165/36 as a mixed number is 4 ²¹/₃₆
where,
165/36 is a given fraction,
4 ²¹/₃₆ is the mixed number representation of 165/36.

The below work with steps provide the detailed information about how to convert fraction 165/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 165/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 165/36.

step 2 The numerator is greater than the denominator of the fraction 165/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 165/36
= 144 + 21/36
= (4 x 36) + 21/36

step 3 Make the above expression as individual fractions:
= (4 x 36)/36 + 21/36

step 4 Simplify the above expression:
= 4 x 36/36 + 21/36
= 4 + 21/36
= 4 + 7 x 3/12 x 3
= 4 + 7/12
4 + 7/12 can be written as a mixed number 4 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 4 + 0.5833
= 4.5833
165/36 = 4.5833

Hence,
165/36 as a decimal is 4.5833
165/36 as a mixed number is 4 ⁷/₁₂