159/108 as a Decimal and Mixed Number

159/108 as a decimal and mixed number expansion provides the detailed information about what is 159/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/108 as a Decimal
159/108 = 1.4722
Hence,
159/108 as a decimal equals to 1.4722
where,
159/108 is a given fraction,
The decimal expansion of 159/108 is 1.4722

159/108 as a Mixed Number
159/108 = (108 + 51)/108
= 108/108 + 51/108
= 1 + 51/108
= 1 51/108
159/108 = 1 51/108

Hence,
159/108 as a mixed number is 1 ⁵¹/₁₀₈
where,
159/108 is a given fraction,
1 ⁵¹/₁₀₈ is the mixed number representation of 159/108.

The below work with steps provide the detailed information about how to convert fraction 159/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/108.

step 2 The numerator is greater than the denominator of the fraction 159/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/108
= 108 + 51/108

step 3 Make the above expression as individual fractions:
= 108/108 + 51/108

step 4 Simplify the above expression:
= 1 x 108/108 + 51/108
= 1 + 51/108
= 1 + 17 x 3/36 x 3
= 1 + 17/36
1 + 17/36 can be written as a mixed number 1 ¹⁷/₃₆.


step 5 Find the decimal equivalent for the fractional part 17/36 in the above expression:
= 1 + 0.4722
= 1.4722
159/108 = 1.4722

Hence,
159/108 as a decimal is 1.4722
159/108 as a mixed number is 1 ¹⁷/₃₆