160/117 as a Decimal and Mixed Number

160/117 as a decimal and mixed number expansion provides the detailed information about what is 160/117 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/117 as a Decimal
160/117 = 1.3675
Hence,
160/117 as a decimal equals to 1.3675
where,
160/117 is a given fraction,
The decimal expansion of 160/117 is 1.3675

160/117 as a Mixed Number
160/117 = (117 + 43)/117
= 117/117 + 43/117
= 1 + 43/117
= 1 43/117
160/117 = 1 43/117

Hence,
160/117 as a mixed number is 1 ⁴³/₁₁₇
where,
160/117 is a given fraction,
1 ⁴³/₁₁₇ is the mixed number representation of 160/117.

The below work with steps provide the detailed information about how to convert fraction 160/117 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/117

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/117.

step 2 The numerator is greater than the denominator of the fraction 160/117, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/117
= 117 + 43/117

step 3 Make the above expression as individual fractions:
= 117/117 + 43/117

step 4 Simplify the above expression:
= 1 x 117/117 + 43/117
= 1 + 43/117
1 + 43/117 can be written as a mixed number 1 ⁴³/₁₁₇.


step 5 Find the decimal equivalent for the fractional part 43/117 in the above expression:
= 1 + 0.3675
= 1.3675
160/117 = 1.3675

Hence,
160/117 as a decimal is 1.3675
160/117 as a mixed number is 1 ⁴³/₁₁₇