71/24 as a Decimal and Mixed Number

71/24 as a decimal and mixed number expansion provides the detailed information about what is 71/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/24 as a Decimal
71/24 = 2.9583
Hence,
71/24 as a decimal equals to 2.9583
where,
71/24 is a given fraction,
The decimal expansion of 71/24 is 2.9583

71/24 as a Mixed Number
71/24 = (48 + 23)/24
= 48/24 + 23/24
= 2 + 23/24
= 2 23/24
71/24 = 2 23/24

Hence,
71/24 as a mixed number is 2 ²³/₂₄
where,
71/24 is a given fraction,
2 ²³/₂₄ is the mixed number representation of 71/24.

The below work with steps provide the detailed information about how to convert fraction 71/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/24.

step 2 The numerator is greater than the denominator of the fraction 71/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/24
= 48 + 23/24
= (2 x 24) + 23/24

step 3 Make the above expression as individual fractions:
= (2 x 24)/24 + 23/24

step 4 Simplify the above expression:
= 2 x 24/24 + 23/24
= 2 + 23/24
2 + 23/24 can be written as a mixed number 2 ²³/₂₄.


step 5 Find the decimal equivalent for the fractional part 23/24 in the above expression:
= 2 + 0.9583
= 2.9583
71/24 = 2.9583

Hence,
71/24 as a decimal is 2.9583
71/24 as a mixed number is 2 ²³/₂₄