198/36 as a Decimal and Mixed Number

198/36 as a decimal and mixed number expansion provides the detailed information about what is 198/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/36 as a Decimal
198/36 = 5.5
Hence,
198/36 as a decimal equals to 5.5
where,
198/36 is a given fraction,
The decimal expansion of 198/36 is 5.5

198/36 as a Mixed Number
198/36 = (180 + 18)/36
= 180/36 + 18/36
= 5 + 18/36
= 5 18/36
198/36 = 5 18/36

Hence,
198/36 as a mixed number is 5 ¹⁸/₃₆
where,
198/36 is a given fraction,
5 ¹⁸/₃₆ is the mixed number representation of 198/36.

The below work with steps provide the detailed information about how to convert fraction 198/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/36.

step 2 The numerator is greater than the denominator of the fraction 198/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/36
= 180 + 18/36
= (5 x 36) + 18/36

step 3 Make the above expression as individual fractions:
= (5 x 36)/36 + 18/36

step 4 Simplify the above expression:
= 5 x 36/36 + 18/36
= 5 + 18/36
= 5 + 1 x 18/2 x 18
= 5 + 1/2
5 + 1/2 can be written as a mixed number 5 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:
= 5 + (1/2 x 5/5)
= 5 + 5/10

step 6 Simplify the above expression further:
= 5 + 0.5
= 5.5
198/36 = 5.5

Hence,
198/36 as a decimal is 5.5
198/36 as a mixed number is 5 ¹/₂