123/109 as a Decimal and Mixed Number

123/109 as a decimal and mixed number expansion provides the detailed information about what is 123/109 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

123/109 as a Decimal
123/109 = 1.1284
Hence,
123/109 as a decimal equals to 1.1284
where,
123/109 is a given fraction,
The decimal expansion of 123/109 is 1.1284

123/109 as a Mixed Number
123/109 = (109 + 14)/109
= 109/109 + 14/109
= 1 + 14/109
= 1 14/109
123/109 = 1 14/109

Hence,
123/109 as a mixed number is 1 ¹⁴/₁₀₉
where,
123/109 is a given fraction,
1 ¹⁴/₁₀₉ is the mixed number representation of 123/109.

The below work with steps provide the detailed information about how to convert fraction 123/109 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 123/109

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 123/109.

step 2 The numerator is greater than the denominator of the fraction 123/109, so write the given fraction in the expression form in terms of denominator as like the below:
= 123/109
= 109 + 14/109

step 3 Make the above expression as individual fractions:
= 109/109 + 14/109

step 4 Simplify the above expression:
= 1 x 109/109 + 14/109
= 1 + 14/109
1 + 14/109 can be written as a mixed number 1 ¹⁴/₁₀₉.


step 5 Find the decimal equivalent for the fractional part 14/109 in the above expression:
= 1 + 0.1284
= 1.1284
123/109 = 1.1284

Hence,
123/109 as a decimal is 1.1284
123/109 as a mixed number is 1 ¹⁴/₁₀₉