160/59 as a Decimal and Mixed Number

160/59 as a decimal and mixed number expansion provides the detailed information about what is 160/59 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

160/59 as a Decimal
160/59 = 2.7119
Hence,
160/59 as a decimal equals to 2.7119
where,
160/59 is a given fraction,
The decimal expansion of 160/59 is 2.7119

160/59 as a Mixed Number
160/59 = (118 + 42)/59
= 118/59 + 42/59
= 2 + 42/59
= 2 42/59
160/59 = 2 42/59

Hence,
160/59 as a mixed number is 2 ⁴²/₅₉
where,
160/59 is a given fraction,
2 ⁴²/₅₉ is the mixed number representation of 160/59.

The below work with steps provide the detailed information about how to convert fraction 160/59 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 160/59

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 160/59.

step 2 The numerator is greater than the denominator of the fraction 160/59, so write the given fraction in the expression form in terms of denominator as like the below:
= 160/59
= 118 + 42/59
= (2 x 59) + 42/59

step 3 Make the above expression as individual fractions:
= (2 x 59)/59 + 42/59

step 4 Simplify the above expression:
= 2 x 59/59 + 42/59
= 2 + 42/59
2 + 42/59 can be written as a mixed number 2 ⁴²/₅₉.


step 5 Find the decimal equivalent for the fractional part 42/59 in the above expression:
= 2 + 0.7119
= 2.7119
160/59 = 2.7119

Hence,
160/59 as a decimal is 2.7119
160/59 as a mixed number is 2 ⁴²/₅₉