160/115 as a Decimal and Mixed Number

160/115 as a decimal and mixed number expansion provides the detailed information about what is 160/115 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/115 as a Decimal
160/115 = 1.3913
Hence,
160/115 as a decimal equals to 1.3913
where,
160/115 is a given fraction,
The decimal expansion of 160/115 is 1.3913

160/115 as a Mixed Number
160/115 = (115 + 45)/115
= 115/115 + 45/115
= 1 + 45/115
= 1 45/115
160/115 = 1 45/115

Hence,
160/115 as a mixed number is 1 ⁴⁵/₁₁₅
where,
160/115 is a given fraction,
1 ⁴⁵/₁₁₅ is the mixed number representation of 160/115.

The below work with steps provide the detailed information about how to convert fraction 160/115 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/115

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/115.

step 2 The numerator is greater than the denominator of the fraction 160/115, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/115
= 115 + 45/115

step 3 Make the above expression as individual fractions:
= 115/115 + 45/115

step 4 Simplify the above expression:
= 1 x 115/115 + 45/115
= 1 + 45/115
= 1 + 9 x 5/23 x 5
= 1 + 9/23
1 + 9/23 can be written as a mixed number 1 ⁹/₂₃.


step 5 Find the decimal equivalent for the fractional part 9/23 in the above expression:
= 1 + 0.3913
= 1.3913
160/115 = 1.3913

Hence,
160/115 as a decimal is 1.3913
160/115 as a mixed number is 1 ⁹/₂₃