123/102 as a Decimal and Mixed Number

123/102 as a decimal and mixed number expansion provides the detailed information about what is 123/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

123/102 as a Decimal
123/102 = 1.2059
Hence,
123/102 as a decimal equals to 1.2059
where,
123/102 is a given fraction,
The decimal expansion of 123/102 is 1.2059

123/102 as a Mixed Number
123/102 = (102 + 21)/102
= 102/102 + 21/102
= 1 + 21/102
= 1 21/102
123/102 = 1 21/102

Hence,
123/102 as a mixed number is 1 ²¹/₁₀₂
where,
123/102 is a given fraction,
1 ²¹/₁₀₂ is the mixed number representation of 123/102.

The below work with steps provide the detailed information about how to convert fraction 123/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 123/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 123/102.

step 2 The numerator is greater than the denominator of the fraction 123/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 123/102
= 102 + 21/102

step 3 Make the above expression as individual fractions:
= 102/102 + 21/102

step 4 Simplify the above expression:
= 1 x 102/102 + 21/102
= 1 + 21/102
= 1 + 7 x 3/34 x 3
= 1 + 7/34
1 + 7/34 can be written as a mixed number 1 ⁷/₃₄.


step 5 Find the decimal equivalent for the fractional part 7/34 in the above expression:
= 1 + 0.2059
= 1.2059
123/102 = 1.2059

Hence,
123/102 as a decimal is 1.2059
123/102 as a mixed number is 1 ⁷/₃₄