78/24 as a Decimal and Mixed Number

78/24 as a decimal and mixed number expansion provides the detailed information about what is 78/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

78/24 as a Decimal
78/24 = 3.25
Hence,
78/24 as a decimal equals to 3.25
where,
78/24 is a given fraction,
The decimal expansion of 78/24 is 3.25

78/24 as a Mixed Number
78/24 = (72 + 6)/24
= 72/24 + 6/24
= 3 + 6/24
= 3 6/24
78/24 = 3 6/24

Hence,
78/24 as a mixed number is 3 ⁶/₂₄
where,
78/24 is a given fraction,
3 ⁶/₂₄ is the mixed number representation of 78/24.

The below work with steps provide the detailed information about how to convert fraction 78/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 78/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 78/24.

step 2 The numerator is greater than the denominator of the fraction 78/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 78/24
= 72 + 6/24
= (3 x 24) + 6/24

step 3 Make the above expression as individual fractions:
= (3 x 24)/24 + 6/24

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


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 3 + (1/4 x 25/25)
= 3 + 25/100

step 6 Simplify the above expression further:
= 3 + 0.25
= 3.25
78/24 = 3.25

Hence,
78/24 as a decimal is 3.25
78/24 as a mixed number is 3 ¹/₄