198/108 as a decimal and mixed number expansion provides the detailed information about what is 198/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
198/108 as a Decimal
198/108 = 1.8333
Hence,
198/108 as a decimal equals to 1.8333
where,
198/108 is a given fraction,
The decimal expansion of 198/108 is 1.8333
198/108 as a Mixed Number
198/108 = (108 + 90)/108
= 108/108 + 90/108
= 1 + 90/108
= 1 90/108
198/108 = 1 90/108
Hence,
198/108 as a mixed number is 1 90/108
where,
198/108 is a given fraction,
1 90/108 is the mixed number representation of 198/108.
The below work with steps provide the detailed information about how to convert fraction 198/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 198/108
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 198/108.
step 2 The numerator is greater than the denominator of the fraction 198/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 198/108
= 108 + 90/108
step 3 Make the above expression as individual fractions:
= 108/108 + 90/108
step 4 Simplify the above expression:
= 1 x 108/108 + 90/108
= 1 + 90/108
= 1 + 5 x 18/6 x 18
= 1 + 5/6
1 + 5/6 can be written as a mixed number 1 5/6.
step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 1 + 0.8333
= 1.8333
198/108 = 1.8333
Hence,
198/108 as a decimal is 1.8333
198/108 as a mixed number is 1 5/6