159/71 as a Decimal and Mixed Number

159/71 as a decimal and mixed number expansion provides the detailed information about what is 159/71 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

159/71 as a Decimal
159/71 = 2.2394
Hence,
159/71 as a decimal equals to 2.2394
where,
159/71 is a given fraction,
The decimal expansion of 159/71 is 2.2394

159/71 as a Mixed Number
159/71 = (142 + 17)/71
= 142/71 + 17/71
= 2 + 17/71
= 2 17/71
159/71 = 2 17/71

Hence,
159/71 as a mixed number is 2 ¹⁷/₇₁
where,
159/71 is a given fraction,
2 ¹⁷/₇₁ is the mixed number representation of 159/71.

The below work with steps provide the detailed information about how to convert fraction 159/71 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 159/71

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 159/71.

step 2 The numerator is greater than the denominator of the fraction 159/71, so write the given fraction in the expression form in terms of denominator as like the below:
= 159/71
= 142 + 17/71
= (2 x 71) + 17/71

step 3 Make the above expression as individual fractions:
= (2 x 71)/71 + 17/71

step 4 Simplify the above expression:
= 2 x 71/71 + 17/71
= 2 + 17/71
2 + 17/71 can be written as a mixed number 2 ¹⁷/₇₁.


step 5 Find the decimal equivalent for the fractional part 17/71 in the above expression:
= 2 + 0.2394
= 2.2394
159/71 = 2.2394

Hence,
159/71 as a decimal is 2.2394
159/71 as a mixed number is 2 ¹⁷/₇₁