118/36 as a decimal and mixed number expansion provides the detailed information about what is 118/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
118/36 as a Decimal
118/36 = 3.2778
Hence,
118/36 as a decimal equals to 3.2778
where,
118/36 is a given fraction,
The decimal expansion of 118/36 is 3.2778
118/36 as a Mixed Number
118/36 = (108 + 10)/36
= 108/36 + 10/36
= 3 + 10/36
= 3 10/36
118/36 = 3 10/36
Hence,
118/36 as a mixed number is 3 10/36
where,
118/36 is a given fraction,
3 10/36 is the mixed number representation of 118/36.
The below work with steps provide the detailed information about how to convert fraction 118/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 118/36
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 118/36.
step 2 The numerator is greater than the denominator of the fraction 118/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 118/36
= 108 + 10/36
= (3 x 36) + 10/36
step 3 Make the above expression as individual fractions:
= (3 x 36)/36 + 10/36
step 4 Simplify the above expression:
= 3 x 36/36 + 10/36
= 3 + 10/36
= 3 + 5 x 2/18 x 2
= 3 + 5/18
3 + 5/18 can be written as a mixed number 3 5/18.
step 5 Find the decimal equivalent for the fractional part 5/18 in the above expression:
= 3 + 0.2778
= 3.2778
118/36 = 3.2778
Hence,
118/36 as a decimal is 3.2778
118/36 as a mixed number is 3 5/18