116/24 as a decimal and mixed number expansion provides the detailed information about what is 116/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
116/24 as a Decimal
116/24 = 4.8333
Hence,
116/24 as a decimal equals to 4.8333
where,
116/24 is a given fraction,
The decimal expansion of 116/24 is 4.8333
116/24 as a Mixed Number
116/24 = (96 + 20)/24
= 96/24 + 20/24
= 4 + 20/24
= 4 20/24
116/24 = 4 20/24
Hence,
116/24 as a mixed number is 4 20/24
where,
116/24 is a given fraction,
4 20/24 is the mixed number representation of 116/24.
The below work with steps provide the detailed information about how to convert fraction 116/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 116/24
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 116/24.
step 2 The numerator is greater than the denominator of the fraction 116/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 116/24
= 96 + 20/24
= (4 x 24) + 20/24
step 3 Make the above expression as individual fractions:
= (4 x 24)/24 + 20/24
step 4 Simplify the above expression:
= 4 x 24/24 + 20/24
= 4 + 20/24
= 4 + 5 x 4/6 x 4
= 4 + 5/6
4 + 5/6 can be written as a mixed number 4 5/6.
step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 4 + 0.8333
= 4.8333
116/24 = 4.8333
Hence,
116/24 as a decimal is 4.8333
116/24 as a mixed number is 4 5/6