160/29 as a Decimal and Mixed Number

160/29 as a decimal and mixed number expansion provides the detailed information about what is 160/29 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/29 as a Decimal
160/29 = 5.5172
Hence,
160/29 as a decimal equals to 5.5172
where,
160/29 is a given fraction,
The decimal expansion of 160/29 is 5.5172

160/29 as a Mixed Number
160/29 = (145 + 15)/29
= 145/29 + 15/29
= 5 + 15/29
= 5 15/29
160/29 = 5 15/29

Hence,
160/29 as a mixed number is 5 ¹⁵/₂₉
where,
160/29 is a given fraction,
5 ¹⁵/₂₉ is the mixed number representation of 160/29.

The below work with steps provide the detailed information about how to convert fraction 160/29 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/29

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/29.

step 2 The numerator is greater than the denominator of the fraction 160/29, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/29
= 145 + 15/29
= (5 x 29) + 15/29

step 3 Make the above expression as individual fractions:
= (5 x 29)/29 + 15/29

step 4 Simplify the above expression:
= 5 x 29/29 + 15/29
= 5 + 15/29
5 + 15/29 can be written as a mixed number 5 ¹⁵/₂₉.


step 5 Find the decimal equivalent for the fractional part 15/29 in the above expression:
= 5 + 0.5172
= 5.5172
160/29 = 5.5172

Hence,
160/29 as a decimal is 5.5172
160/29 as a mixed number is 5 ¹⁵/₂₉