74/13 as a Decimal and Mixed Number

74/13 as a decimal and mixed number expansion provides the detailed information about what is 74/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

74/13 as a Decimal
74/13 = 5.6923
Hence,
74/13 as a decimal equals to 5.6923
where,
74/13 is a given fraction,
The decimal expansion of 74/13 is 5.6923

74/13 as a Mixed Number
74/13 = (65 + 9)/13
= 65/13 + 9/13
= 5 + 9/13
= 5 9/13
74/13 = 5 9/13

Hence,
74/13 as a mixed number is 5 ⁹/₁₃
where,
74/13 is a given fraction,
5 ⁹/₁₃ is the mixed number representation of 74/13.

The below work with steps provide the detailed information about how to convert fraction 74/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 74/13.

step 2 The numerator is greater than the denominator of the fraction 74/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 74/13
= 65 + 9/13
= (5 x 13) + 9/13

step 3 Make the above expression as individual fractions:
= (5 x 13)/13 + 9/13

step 4 Simplify the above expression:
= 5 x 13/13 + 9/13
= 5 + 9/13
5 + 9/13 can be written as a mixed number 5 ⁹/₁₃.


step 5 Find the decimal equivalent for the fractional part 9/13 in the above expression:
= 5 + 0.6923
= 5.6923
74/13 = 5.6923

Hence,
74/13 as a decimal is 5.6923
74/13 as a mixed number is 5 ⁹/₁₃