152/108 as a Decimal and Mixed Number

152/108 as a decimal and mixed number expansion provides the detailed information about what is 152/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/108 as a Decimal
152/108 = 1.4074
Hence,
152/108 as a decimal equals to 1.4074
where,
152/108 is a given fraction,
The decimal expansion of 152/108 is 1.4074

152/108 as a Mixed Number
152/108 = (108 + 44)/108
= 108/108 + 44/108
= 1 + 44/108
= 1 44/108
152/108 = 1 44/108

Hence,
152/108 as a mixed number is 1 ⁴⁴/₁₀₈
where,
152/108 is a given fraction,
1 ⁴⁴/₁₀₈ is the mixed number representation of 152/108.

The below work with steps provide the detailed information about how to convert fraction 152/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/108.

step 2 The numerator is greater than the denominator of the fraction 152/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 152/108
= 108 + 44/108

step 3 Make the above expression as individual fractions:
= 108/108 + 44/108

step 4 Simplify the above expression:
= 1 x 108/108 + 44/108
= 1 + 44/108
= 1 + 11 x 4/27 x 4
= 1 + 11/27
1 + 11/27 can be written as a mixed number 1 ¹¹/₂₇.


step 5 Find the decimal equivalent for the fractional part 11/27 in the above expression:
= 1 + 0.4074
= 1.4074
152/108 = 1.4074

Hence,
152/108 as a decimal is 1.4074
152/108 as a mixed number is 1 ¹¹/₂₇