123/82 as a Decimal and Mixed Number

123/82 as a decimal and mixed number expansion provides the detailed information about what is 123/82 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

123/82 as a Decimal
123/82 = 1.5
Hence,
123/82 as a decimal equals to 1.5
where,
123/82 is a given fraction,
The decimal expansion of 123/82 is 1.5

123/82 as a Mixed Number
123/82 = (82 + 41)/82
= 82/82 + 41/82
= 1 + 41/82
= 1 41/82
123/82 = 1 41/82

Hence,
123/82 as a mixed number is 1 ⁴¹/₈₂
where,
123/82 is a given fraction,
1 ⁴¹/₈₂ is the mixed number representation of 123/82.

The below work with steps provide the detailed information about how to convert fraction 123/82 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 123/82

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 123/82.

step 2 The numerator is greater than the denominator of the fraction 123/82, so write the given fraction in the expression form in terms of denominator as like the below:
= 123/82
= 82 + 41/82

step 3 Make the above expression as individual fractions:
= 82/82 + 41/82

step 4 Simplify the above expression:
= 1 x 82/82 + 41/82
= 1 + 41/82
= 1 + 1 x 41/2 x 41
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 ¹/₂.


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

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
123/82 = 1.5

Hence,
123/82 as a decimal is 1.5
123/82 as a mixed number is 1 ¹/₂