138/52 as a Decimal and Mixed Number

138/52 as a decimal and mixed number expansion provides the detailed information about what is 138/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/52 as a Decimal
138/52 = 2.6538
Hence,
138/52 as a decimal equals to 2.6538
where,
138/52 is a given fraction,
The decimal expansion of 138/52 is 2.6538

138/52 as a Mixed Number
138/52 = (104 + 34)/52
= 104/52 + 34/52
= 2 + 34/52
= 2 34/52
138/52 = 2 34/52

Hence,
138/52 as a mixed number is 2 ³⁴/₅₂
where,
138/52 is a given fraction,
2 ³⁴/₅₂ is the mixed number representation of 138/52.

The below work with steps provide the detailed information about how to convert fraction 138/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/52.

step 2 The numerator is greater than the denominator of the fraction 138/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/52
= 104 + 34/52
= (2 x 52) + 34/52

step 3 Make the above expression as individual fractions:
= (2 x 52)/52 + 34/52

step 4 Simplify the above expression:
= 2 x 52/52 + 34/52
= 2 + 34/52
= 2 + 17 x 2/26 x 2
= 2 + 17/26
2 + 17/26 can be written as a mixed number 2 ¹⁷/₂₆.


step 5 Find the decimal equivalent for the fractional part 17/26 in the above expression:
= 2 + 0.6538
= 2.6538
138/52 = 2.6538

Hence,
138/52 as a decimal is 2.6538
138/52 as a mixed number is 2 ¹⁷/₂₆