110/36 as a Decimal and Mixed Number

110/36 as a decimal and mixed number expansion provides the detailed information about what is 110/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

110/36 as a Decimal
110/36 = 3.0556
Hence,
110/36 as a decimal equals to 3.0556
where,
110/36 is a given fraction,
The decimal expansion of 110/36 is 3.0556

110/36 as a Mixed Number
110/36 = (108 + 2)/36
= 108/36 + 2/36
= 3 + 2/36
= 3 2/36
110/36 = 3 2/36

Hence,
110/36 as a mixed number is 3 ²/₃₆
where,
110/36 is a given fraction,
3 ²/₃₆ is the mixed number representation of 110/36.

The below work with steps provide the detailed information about how to convert fraction 110/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 110/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 110/36.

step 2 The numerator is greater than the denominator of the fraction 110/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 110/36
= 108 + 2/36
= (3 x 36) + 2/36

step 3 Make the above expression as individual fractions:
= (3 x 36)/36 + 2/36

step 4 Simplify the above expression:
= 3 x 36/36 + 2/36
= 3 + 2/36
= 3 + 1 x 2/18 x 2
= 3 + 1/18
3 + 1/18 can be written as a mixed number 3 ¹/₁₈.


step 5 Find the decimal equivalent for the fractional part 1/18 in the above expression:
= 3 + 0.0556
= 3.0556
110/36 = 3.0556

Hence,
110/36 as a decimal is 3.0556
110/36 as a mixed number is 3 ¹/₁₈