71/48 as a Decimal and Mixed Number

71/48 as a decimal and mixed number expansion provides the detailed information about what is 71/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/48 as a Decimal
71/48 = 1.4792
Hence,
71/48 as a decimal equals to 1.4792
where,
71/48 is a given fraction,
The decimal expansion of 71/48 is 1.4792

71/48 as a Mixed Number
71/48 = (48 + 23)/48
= 48/48 + 23/48
= 1 + 23/48
= 1 23/48
71/48 = 1 23/48

Hence,
71/48 as a mixed number is 1 ²³/₄₈
where,
71/48 is a given fraction,
1 ²³/₄₈ is the mixed number representation of 71/48.

The below work with steps provide the detailed information about how to convert fraction 71/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/48.

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

step 3 Make the above expression as individual fractions:
= 48/48 + 23/48

step 4 Simplify the above expression:
= 1 x 48/48 + 23/48
= 1 + 23/48
1 + 23/48 can be written as a mixed number 1 ²³/₄₈.


step 5 Find the decimal equivalent for the fractional part 23/48 in the above expression:
= 1 + 0.4792
= 1.4792
71/48 = 1.4792

Hence,
71/48 as a decimal is 1.4792
71/48 as a mixed number is 1 ²³/₄₈