109/98 as a Decimal and Mixed Number

109/98 as a decimal and mixed number expansion provides the detailed information about what is 109/98 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

109/98 as a Decimal
109/98 = 1.1122
Hence,
109/98 as a decimal equals to 1.1122
where,
109/98 is a given fraction,
The decimal expansion of 109/98 is 1.1122

109/98 as a Mixed Number
109/98 = (98 + 11)/98
= 98/98 + 11/98
= 1 + 11/98
= 1 11/98
109/98 = 1 11/98

Hence,
109/98 as a mixed number is 1 ¹¹/₉₈
where,
109/98 is a given fraction,
1 ¹¹/₉₈ is the mixed number representation of 109/98.

The below work with steps provide the detailed information about how to convert fraction 109/98 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 109/98

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 109/98.

step 2 The numerator is greater than the denominator of the fraction 109/98, so write the given fraction in the expression form in terms of denominator as like the below:
= 109/98
= 98 + 11/98

step 3 Make the above expression as individual fractions:
= 98/98 + 11/98

step 4 Simplify the above expression:
= 1 x 98/98 + 11/98
= 1 + 11/98
1 + 11/98 can be written as a mixed number 1 ¹¹/₉₈.


step 5 Find the decimal equivalent for the fractional part 11/98 in the above expression:
= 1 + 0.1122
= 1.1122
109/98 = 1.1122

Hence,
109/98 as a decimal is 1.1122
109/98 as a mixed number is 1 ¹¹/₉₈