118/27 as a Decimal and Mixed Number

118/27 as a decimal and mixed number expansion provides the detailed information about what is 118/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

118/27 as a Decimal
118/27 = 4.3704
Hence,
118/27 as a decimal equals to 4.3704
where,
118/27 is a given fraction,
The decimal expansion of 118/27 is 4.3704

118/27 as a Mixed Number
118/27 = (108 + 10)/27
= 108/27 + 10/27
= 4 + 10/27
= 4 10/27
118/27 = 4 10/27

Hence,
118/27 as a mixed number is 4 ¹⁰/₂₇
where,
118/27 is a given fraction,
4 ¹⁰/₂₇ is the mixed number representation of 118/27.

The below work with steps provide the detailed information about how to convert fraction 118/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 118/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 118/27.

step 2 The numerator is greater than the denominator of the fraction 118/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 118/27
= 108 + 10/27
= (4 x 27) + 10/27

step 3 Make the above expression as individual fractions:
= (4 x 27)/27 + 10/27

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


step 5 Find the decimal equivalent for the fractional part 10/27 in the above expression:
= 4 + 0.3704
= 4.3704
118/27 = 4.3704

Hence,
118/27 as a decimal is 4.3704
118/27 as a mixed number is 4 ¹⁰/₂₇