72/26 as a Decimal and Mixed Number

72/26 as a decimal and mixed number expansion provides the detailed information about what is 72/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

72/26 as a Decimal
72/26 = 2.7692
Hence,
72/26 as a decimal equals to 2.7692
where,
72/26 is a given fraction,
The decimal expansion of 72/26 is 2.7692

72/26 as a Mixed Number
72/26 = (52 + 20)/26
= 52/26 + 20/26
= 2 + 20/26
= 2 20/26
72/26 = 2 20/26

Hence,
72/26 as a mixed number is 2 ²⁰/₂₆
where,
72/26 is a given fraction,
2 ²⁰/₂₆ is the mixed number representation of 72/26.

The below work with steps provide the detailed information about how to convert fraction 72/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 72/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 72/26.

step 2 The numerator is greater than the denominator of the fraction 72/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 72/26
= 52 + 20/26
= (2 x 26) + 20/26

step 3 Make the above expression as individual fractions:
= (2 x 26)/26 + 20/26

step 4 Simplify the above expression:
= 2 x 26/26 + 20/26
= 2 + 20/26
= 2 + 10 x 2/13 x 2
= 2 + 10/13
2 + 10/13 can be written as a mixed number 2 ¹⁰/₁₃.


step 5 Find the decimal equivalent for the fractional part 10/13 in the above expression:
= 2 + 0.7692
= 2.7692
72/26 = 2.7692

Hence,
72/26 as a decimal is 2.7692
72/26 as a mixed number is 2 ¹⁰/₁₃