198/8 as a Decimal and Mixed Number

198/8 as a decimal and mixed number expansion provides the detailed information about what is 198/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/8 as a Decimal
198/8 = 24.75
Hence,
198/8 as a decimal equals to 24.75
where,
198/8 is a given fraction,
The decimal expansion of 198/8 is 24.75

198/8 as a Mixed Number
198/8 = (192 + 6)/8
= 192/8 + 6/8
= 24 + 6/8
= 24 6/8
198/8 = 24 6/8

Hence,
198/8 as a mixed number is 24 ⁶/₈
where,
198/8 is a given fraction,
24 ⁶/₈ is the mixed number representation of 198/8.

The below work with steps provide the detailed information about how to convert fraction 198/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/8.

step 2 The numerator is greater than the denominator of the fraction 198/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/8
= 192 + 6/8
= (24 x 8) + 6/8

step 3 Make the above expression as individual fractions:
= (24 x 8)/8 + 6/8

step 4 Simplify the above expression:
= 24 x 8/8 + 6/8
= 24 + 6/8
= 24 + 3 x 2/4 x 2
= 24 + 3/4
24 + 3/4 can be written as a mixed number 24 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 24 + (3/4 x 25/25)
= 24 + 75/100

step 6 Simplify the above expression further:
= 24 + 0.75
= 24.75
198/8 = 24.75

Hence,
198/8 as a decimal is 24.75
198/8 as a mixed number is 24 ³/₄