76/24 as a Decimal and Mixed Number

76/24 as a decimal and mixed number expansion provides the detailed information about what is 76/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

76/24 as a Decimal
76/24 = 3.1667
Hence,
76/24 as a decimal equals to 3.1667
where,
76/24 is a given fraction,
The decimal expansion of 76/24 is 3.1667

76/24 as a Mixed Number
76/24 = (72 + 4)/24
= 72/24 + 4/24
= 3 + 4/24
= 3 4/24
76/24 = 3 4/24

Hence,
76/24 as a mixed number is 3 ⁴/₂₄
where,
76/24 is a given fraction,
3 ⁴/₂₄ is the mixed number representation of 76/24.

The below work with steps provide the detailed information about how to convert fraction 76/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/24.

step 2 The numerator is greater than the denominator of the fraction 76/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/24
= 72 + 4/24
= (3 x 24) + 4/24

step 3 Make the above expression as individual fractions:
= (3 x 24)/24 + 4/24

step 4 Simplify the above expression:
= 3 x 24/24 + 4/24
= 3 + 4/24
= 3 + 1 x 4/6 x 4
= 3 + 1/6
3 + 1/6 can be written as a mixed number 3 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 3 + 0.1667
= 3.1667
76/24 = 3.1667

Hence,
76/24 as a decimal is 3.1667
76/24 as a mixed number is 3 ¹/₆