76/48 as a Decimal and Mixed Number

76/48 as a decimal and mixed number expansion provides the detailed information about what is 76/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

76/48 as a Decimal
76/48 = 1.5833
Hence,
76/48 as a decimal equals to 1.5833
where,
76/48 is a given fraction,
The decimal expansion of 76/48 is 1.5833

76/48 as a Mixed Number
76/48 = (48 + 28)/48
= 48/48 + 28/48
= 1 + 28/48
= 1 28/48
76/48 = 1 28/48

Hence,
76/48 as a mixed number is 1 ²⁸/₄₈
where,
76/48 is a given fraction,
1 ²⁸/₄₈ is the mixed number representation of 76/48.

The below work with steps provide the detailed information about how to convert fraction 76/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/48.

step 2 The numerator is greater than the denominator of the fraction 76/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/48
= 48 + 28/48

step 3 Make the above expression as individual fractions:
= 48/48 + 28/48

step 4 Simplify the above expression:
= 1 x 48/48 + 28/48
= 1 + 28/48
= 1 + 7 x 4/12 x 4
= 1 + 7/12
1 + 7/12 can be written as a mixed number 1 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 1 + 0.5833
= 1.5833
76/48 = 1.5833

Hence,
76/48 as a decimal is 1.5833
76/48 as a mixed number is 1 ⁷/₁₂