83/38 as a Decimal and Mixed Number

83/38 as a decimal and mixed number expansion provides the detailed information about what is 83/38 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

83/38 as a Decimal
83/38 = 2.1842
Hence,
83/38 as a decimal equals to 2.1842
where,
83/38 is a given fraction,
The decimal expansion of 83/38 is 2.1842

83/38 as a Mixed Number
83/38 = (76 + 7)/38
= 76/38 + 7/38
= 2 + 7/38
= 2 7/38
83/38 = 2 7/38

Hence,
83/38 as a mixed number is 2 ⁷/₃₈
where,
83/38 is a given fraction,
2 ⁷/₃₈ is the mixed number representation of 83/38.

The below work with steps provide the detailed information about how to convert fraction 83/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 83/38

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 83/38.

step 2 The numerator is greater than the denominator of the fraction 83/38, so write the given fraction in the expression form in terms of denominator as like the below:
= 83/38
= 76 + 7/38
= (2 x 38) + 7/38

step 3 Make the above expression as individual fractions:
= (2 x 38)/38 + 7/38

step 4 Simplify the above expression:
= 2 x 38/38 + 7/38
= 2 + 7/38
2 + 7/38 can be written as a mixed number 2 ⁷/₃₈.


step 5 Find the decimal equivalent for the fractional part 7/38 in the above expression:
= 2 + 0.1842
= 2.1842
83/38 = 2.1842

Hence,
83/38 as a decimal is 2.1842
83/38 as a mixed number is 2 ⁷/₃₈