113/71 as a Decimal and Mixed Number

113/71 as a decimal and mixed number expansion provides the detailed information about what is 113/71 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

113/71 as a Decimal
113/71 = 1.5915
Hence,
113/71 as a decimal equals to 1.5915
where,
113/71 is a given fraction,
The decimal expansion of 113/71 is 1.5915

113/71 as a Mixed Number
113/71 = (71 + 42)/71
= 71/71 + 42/71
= 1 + 42/71
= 1 42/71
113/71 = 1 42/71

Hence,
113/71 as a mixed number is 1 ⁴²/₇₁
where,
113/71 is a given fraction,
1 ⁴²/₇₁ is the mixed number representation of 113/71.

The below work with steps provide the detailed information about how to convert fraction 113/71 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 113/71

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 113/71.

step 2 The numerator is greater than the denominator of the fraction 113/71, so write the given fraction in the expression form in terms of denominator as like the below:
= 113/71
= 71 + 42/71

step 3 Make the above expression as individual fractions:
= 71/71 + 42/71

step 4 Simplify the above expression:
= 1 x 71/71 + 42/71
= 1 + 42/71
1 + 42/71 can be written as a mixed number 1 ⁴²/₇₁.


step 5 Find the decimal equivalent for the fractional part 42/71 in the above expression:
= 1 + 0.5915
= 1.5915
113/71 = 1.5915

Hence,
113/71 as a decimal is 1.5915
113/71 as a mixed number is 1 ⁴²/₇₁