77/24 as a Decimal and Mixed Number

77/24 as a decimal and mixed number expansion provides the detailed information about what is 77/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

77/24 as a Decimal
77/24 = 3.2083
Hence,
77/24 as a decimal equals to 3.2083
where,
77/24 is a given fraction,
The decimal expansion of 77/24 is 3.2083

77/24 as a Mixed Number
77/24 = (72 + 5)/24
= 72/24 + 5/24
= 3 + 5/24
= 3 5/24
77/24 = 3 5/24

Hence,
77/24 as a mixed number is 3 ⁵/₂₄
where,
77/24 is a given fraction,
3 ⁵/₂₄ is the mixed number representation of 77/24.

The below work with steps provide the detailed information about how to convert fraction 77/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 77/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 77/24.

step 2 The numerator is greater than the denominator of the fraction 77/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 77/24
= 72 + 5/24
= (3 x 24) + 5/24

step 3 Make the above expression as individual fractions:
= (3 x 24)/24 + 5/24

step 4 Simplify the above expression:
= 3 x 24/24 + 5/24
= 3 + 5/24
3 + 5/24 can be written as a mixed number 3 ⁵/₂₄.


step 5 Find the decimal equivalent for the fractional part 5/24 in the above expression:
= 3 + 0.2083
= 3.2083
77/24 = 3.2083

Hence,
77/24 as a decimal is 3.2083
77/24 as a mixed number is 3 ⁵/₂₄