117/30 as a Decimal and Mixed Number

117/30 as a decimal and mixed number expansion provides the detailed information about what is 117/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

117/30 as a Decimal
117/30 = 3.9
Hence,
117/30 as a decimal equals to 3.9
where,
117/30 is a given fraction,
The decimal expansion of 117/30 is 3.9

117/30 as a Mixed Number
117/30 = (90 + 27)/30
= 90/30 + 27/30
= 3 + 27/30
= 3 27/30
117/30 = 3 27/30

Hence,
117/30 as a mixed number is 3 ²⁷/₃₀
where,
117/30 is a given fraction,
3 ²⁷/₃₀ is the mixed number representation of 117/30.

The below work with steps provide the detailed information about how to convert fraction 117/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 117/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 117/30.

step 2 The numerator is greater than the denominator of the fraction 117/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 117/30
= 90 + 27/30
= (3 x 30) + 27/30

step 3 Make the above expression as individual fractions:
= (3 x 30)/30 + 27/30

step 4 Simplify the above expression:
= 3 x 30/30 + 27/30
= 3 + 27/30
= 3 + 9 x 3/10 x 3
= 3 + 9/10
3 + 9/10 can be written as a mixed number 3 ⁹/₁₀.


step 5 Find the decimal equivalent for the fractional part 9/10 in the above expression:
= 3 + 0.9
= 3.9
117/30 = 3.9

Hence,
117/30 as a decimal is 3.9
117/30 as a mixed number is 3 ⁹/₁₀