116/8 as a Decimal and Mixed Number

116/8 as a decimal and mixed number expansion provides the detailed information about what is 116/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

116/8 as a Decimal
116/8 = 14.5
Hence,
116/8 as a decimal equals to 14.5
where,
116/8 is a given fraction,
The decimal expansion of 116/8 is 14.5

116/8 as a Mixed Number
116/8 = (112 + 4)/8
= 112/8 + 4/8
= 14 + 4/8
= 14 4/8
116/8 = 14 4/8

Hence,
116/8 as a mixed number is 14 ⁴/₈
where,
116/8 is a given fraction,
14 ⁴/₈ is the mixed number representation of 116/8.

The below work with steps provide the detailed information about how to convert fraction 116/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 116/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 116/8.

step 2 The numerator is greater than the denominator of the fraction 116/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 116/8
= 112 + 4/8
= (14 x 8) + 4/8

step 3 Make the above expression as individual fractions:
= (14 x 8)/8 + 4/8

step 4 Simplify the above expression:
= 14 x 8/8 + 4/8
= 14 + 4/8
= 14 + 1 x 4/2 x 4
= 14 + 1/2
14 + 1/2 can be written as a mixed number 14 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 14 + (1/2 x 5/5)
= 14 + 5/10

step 6 Simplify the above expression further:
= 14 + 0.5
= 14.5
116/8 = 14.5

Hence,
116/8 as a decimal is 14.5
116/8 as a mixed number is 14 ¹/₂