160/108 as a Decimal and Mixed Number

160/108 as a decimal and mixed number expansion provides the detailed information about what is 160/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/108 as a Decimal
160/108 = 1.4815
Hence,
160/108 as a decimal equals to 1.4815
where,
160/108 is a given fraction,
The decimal expansion of 160/108 is 1.4815

160/108 as a Mixed Number
160/108 = (108 + 52)/108
= 108/108 + 52/108
= 1 + 52/108
= 1 52/108
160/108 = 1 52/108

Hence,
160/108 as a mixed number is 1 ⁵²/₁₀₈
where,
160/108 is a given fraction,
1 ⁵²/₁₀₈ is the mixed number representation of 160/108.

The below work with steps provide the detailed information about how to convert fraction 160/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/108.

step 2 The numerator is greater than the denominator of the fraction 160/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/108
= 108 + 52/108

step 3 Make the above expression as individual fractions:
= 108/108 + 52/108

step 4 Simplify the above expression:
= 1 x 108/108 + 52/108
= 1 + 52/108
= 1 + 13 x 4/27 x 4
= 1 + 13/27
1 + 13/27 can be written as a mixed number 1 ¹³/₂₇.


step 5 Find the decimal equivalent for the fractional part 13/27 in the above expression:
= 1 + 0.4815
= 1.4815
160/108 = 1.4815

Hence,
160/108 as a decimal is 1.4815
160/108 as a mixed number is 1 ¹³/₂₇