75/26 as a Decimal and Mixed Number

75/26 as a decimal and mixed number expansion provides the detailed information about what is 75/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

75/26 as a Decimal
75/26 = 2.8846
Hence,
75/26 as a decimal equals to 2.8846
where,
75/26 is a given fraction,
The decimal expansion of 75/26 is 2.8846

75/26 as a Mixed Number
75/26 = (52 + 23)/26
= 52/26 + 23/26
= 2 + 23/26
= 2 23/26
75/26 = 2 23/26

Hence,
75/26 as a mixed number is 2 ²³/₂₆
where,
75/26 is a given fraction,
2 ²³/₂₆ is the mixed number representation of 75/26.

The below work with steps provide the detailed information about how to convert fraction 75/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/26

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/26.

step 2 The numerator is greater than the denominator of the fraction 75/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/26
= 52 + 23/26
= (2 x 26) + 23/26

step 3 Make the above expression as individual fractions:
= (2 x 26)/26 + 23/26

step 4 Simplify the above expression:
= 2 x 26/26 + 23/26
= 2 + 23/26
2 + 23/26 can be written as a mixed number 2 ²³/₂₆.


step 5 Find the decimal equivalent for the fractional part 23/26 in the above expression:
= 2 + 0.8846
= 2.8846
75/26 = 2.8846

Hence,
75/26 as a decimal is 2.8846
75/26 as a mixed number is 2 ²³/₂₆