74/29 as a Decimal and Mixed Number

74/29 as a decimal and mixed number expansion provides the detailed information about what is 74/29 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

74/29 as a Decimal
74/29 = 2.5517
Hence,
74/29 as a decimal equals to 2.5517
where,
74/29 is a given fraction,
The decimal expansion of 74/29 is 2.5517

74/29 as a Mixed Number
74/29 = (58 + 16)/29
= 58/29 + 16/29
= 2 + 16/29
= 2 16/29
74/29 = 2 16/29

Hence,
74/29 as a mixed number is 2 ¹⁶/₂₉
where,
74/29 is a given fraction,
2 ¹⁶/₂₉ is the mixed number representation of 74/29.

The below work with steps provide the detailed information about how to convert fraction 74/29 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/29

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 74/29.

step 2 The numerator is greater than the denominator of the fraction 74/29, so write the given fraction in the expression form in terms of denominator as like the below:
= 74/29
= 58 + 16/29
= (2 x 29) + 16/29

step 3 Make the above expression as individual fractions:
= (2 x 29)/29 + 16/29

step 4 Simplify the above expression:
= 2 x 29/29 + 16/29
= 2 + 16/29
2 + 16/29 can be written as a mixed number 2 ¹⁶/₂₉.


step 5 Find the decimal equivalent for the fractional part 16/29 in the above expression:
= 2 + 0.5517
= 2.5517
74/29 = 2.5517

Hence,
74/29 as a decimal is 2.5517
74/29 as a mixed number is 2 ¹⁶/₂₉