198/110 as a Decimal and Mixed Number

198/110 as a decimal and mixed number expansion provides the detailed information about what is 198/110 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

198/110 as a Decimal
198/110 = 1.8
Hence,
198/110 as a decimal equals to 1.8
where,
198/110 is a given fraction,
The decimal expansion of 198/110 is 1.8

198/110 as a Mixed Number
198/110 = (110 + 88)/110
= 110/110 + 88/110
= 1 + 88/110
= 1 88/110
198/110 = 1 88/110

Hence,
198/110 as a mixed number is 1 ⁸⁸/₁₁₀
where,
198/110 is a given fraction,
1 ⁸⁸/₁₁₀ is the mixed number representation of 198/110.

The below work with steps provide the detailed information about how to convert fraction 198/110 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/110

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/110.

step 2 The numerator is greater than the denominator of the fraction 198/110, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/110
= 110 + 88/110

step 3 Make the above expression as individual fractions:
= 110/110 + 88/110

step 4 Simplify the above expression:
= 1 x 110/110 + 88/110
= 1 + 88/110
= 1 + 4 x 22/5 x 22
= 1 + 4/5
1 + 4/5 can be written as a mixed number 1 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 1 + (4/5 x 2/2)
= 1 + 8/10

step 6 Simplify the above expression further:
= 1 + 0.8
= 1.8
198/110 = 1.8

Hence,
198/110 as a decimal is 1.8
198/110 as a mixed number is 1 ⁴/₅