152/71 as a Decimal and Mixed Number

152/71 as a decimal and mixed number expansion provides the detailed information about what is 152/71 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

152/71 as a Decimal
152/71 = 2.1408
Hence,
152/71 as a decimal equals to 2.1408
where,
152/71 is a given fraction,
The decimal expansion of 152/71 is 2.1408

152/71 as a Mixed Number
152/71 = (142 + 10)/71
= 142/71 + 10/71
= 2 + 10/71
= 2 10/71
152/71 = 2 10/71

Hence,
152/71 as a mixed number is 2 ¹⁰/₇₁
where,
152/71 is a given fraction,
2 ¹⁰/₇₁ is the mixed number representation of 152/71.

The below work with steps provide the detailed information about how to convert fraction 152/71 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 152/71

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 152/71.

step 2 The numerator is greater than the denominator of the fraction 152/71, so write the given fraction in the expression form in terms of denominator as like the below:
= 152/71
= 142 + 10/71
= (2 x 71) + 10/71

step 3 Make the above expression as individual fractions:
= (2 x 71)/71 + 10/71

step 4 Simplify the above expression:
= 2 x 71/71 + 10/71
= 2 + 10/71
2 + 10/71 can be written as a mixed number 2 ¹⁰/₇₁.


step 5 Find the decimal equivalent for the fractional part 10/71 in the above expression:
= 2 + 0.1408
= 2.1408
152/71 = 2.1408

Hence,
152/71 as a decimal is 2.1408
152/71 as a mixed number is 2 ¹⁰/₇₁