198/55 as a Decimal and Mixed Number

198/55 as a decimal and mixed number expansion provides the detailed information about what is 198/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/55 as a Decimal
198/55 = 3.6
Hence,
198/55 as a decimal equals to 3.6
where,
198/55 is a given fraction,
The decimal expansion of 198/55 is 3.6

198/55 as a Mixed Number
198/55 = (165 + 33)/55
= 165/55 + 33/55
= 3 + 33/55
= 3 33/55
198/55 = 3 33/55

Hence,
198/55 as a mixed number is 3 ³³/₅₅
where,
198/55 is a given fraction,
3 ³³/₅₅ is the mixed number representation of 198/55.

The below work with steps provide the detailed information about how to convert fraction 198/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/55.

step 2 The numerator is greater than the denominator of the fraction 198/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/55
= 165 + 33/55
= (3 x 55) + 33/55

step 3 Make the above expression as individual fractions:
= (3 x 55)/55 + 33/55

step 4 Simplify the above expression:
= 3 x 55/55 + 33/55
= 3 + 33/55
= 3 + 3 x 11/5 x 11
= 3 + 3/5
3 + 3/5 can be written as a mixed number 3 ³/₅.


step 5 Find the decimal equivalent for the fractional part 3/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (3/5 x 2/2)
= 3 + 6/10

step 6 Simplify the above expression further:
= 3 + 0.6
= 3.6
198/55 = 3.6

Hence,
198/55 as a decimal is 3.6
198/55 as a mixed number is 3 ³/₅