198/90 as a Decimal and Mixed Number

198/90 as a decimal and mixed number expansion provides the detailed information about what is 198/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/90 as a Decimal
198/90 = 2.2
Hence,
198/90 as a decimal equals to 2.2
where,
198/90 is a given fraction,
The decimal expansion of 198/90 is 2.2

198/90 as a Mixed Number
198/90 = (180 + 18)/90
= 180/90 + 18/90
= 2 + 18/90
= 2 18/90
198/90 = 2 18/90

Hence,
198/90 as a mixed number is 2 ¹⁸/₉₀
where,
198/90 is a given fraction,
2 ¹⁸/₉₀ is the mixed number representation of 198/90.

The below work with steps provide the detailed information about how to convert fraction 198/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/90.

step 2 The numerator is greater than the denominator of the fraction 198/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/90
= 180 + 18/90
= (2 x 90) + 18/90

step 3 Make the above expression as individual fractions:
= (2 x 90)/90 + 18/90

step 4 Simplify the above expression:
= 2 x 90/90 + 18/90
= 2 + 18/90
= 2 + 1 x 18/5 x 18
= 2 + 1/5
2 + 1/5 can be written as a mixed number 2 ¹/₅.


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

step 6 Simplify the above expression further:
= 2 + 0.2
= 2.2
198/90 = 2.2

Hence,
198/90 as a decimal is 2.2
198/90 as a mixed number is 2 ¹/₅