180/71 as a Decimal and Mixed Number

180/71 as a decimal and mixed number expansion provides the detailed information about what is 180/71 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/71 as a Decimal
180/71 = 2.5352
Hence,
180/71 as a decimal equals to 2.5352
where,
180/71 is a given fraction,
The decimal expansion of 180/71 is 2.5352

180/71 as a Mixed Number
180/71 = (142 + 38)/71
= 142/71 + 38/71
= 2 + 38/71
= 2 38/71
180/71 = 2 38/71

Hence,
180/71 as a mixed number is 2 ³⁸/₇₁
where,
180/71 is a given fraction,
2 ³⁸/₇₁ is the mixed number representation of 180/71.

The below work with steps provide the detailed information about how to convert fraction 180/71 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/71

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/71.

step 2 The numerator is greater than the denominator of the fraction 180/71, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/71
= 142 + 38/71
= (2 x 71) + 38/71

step 3 Make the above expression as individual fractions:
= (2 x 71)/71 + 38/71

step 4 Simplify the above expression:
= 2 x 71/71 + 38/71
= 2 + 38/71
2 + 38/71 can be written as a mixed number 2 ³⁸/₇₁.


step 5 Find the decimal equivalent for the fractional part 38/71 in the above expression:
= 2 + 0.5352
= 2.5352
180/71 = 2.5352

Hence,
180/71 as a decimal is 2.5352
180/71 as a mixed number is 2 ³⁸/₇₁