74/36 as a Decimal and Mixed Number

74/36 as a decimal and mixed number expansion provides the detailed information about what is 74/36 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

74/36 as a Decimal
74/36 = 2.0556
Hence,
74/36 as a decimal equals to 2.0556
where,
74/36 is a given fraction,
The decimal expansion of 74/36 is 2.0556

74/36 as a Mixed Number
74/36 = (72 + 2)/36
= 72/36 + 2/36
= 2 + 2/36
= 2 2/36
74/36 = 2 2/36

Hence,
74/36 as a mixed number is 2 ²/₃₆
where,
74/36 is a given fraction,
2 ²/₃₆ is the mixed number representation of 74/36.

The below work with steps provide the detailed information about how to convert fraction 74/36 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/36

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 74/36.

step 2 The numerator is greater than the denominator of the fraction 74/36, so write the given fraction in the expression form in terms of denominator as like the below:
= 74/36
= 72 + 2/36
= (2 x 36) + 2/36

step 3 Make the above expression as individual fractions:
= (2 x 36)/36 + 2/36

step 4 Simplify the above expression:
= 2 x 36/36 + 2/36
= 2 + 2/36
= 2 + 1 x 2/18 x 2
= 2 + 1/18
2 + 1/18 can be written as a mixed number 2 ¹/₁₈.


step 5 Find the decimal equivalent for the fractional part 1/18 in the above expression:
= 2 + 0.0556
= 2.0556
74/36 = 2.0556

Hence,
74/36 as a decimal is 2.0556
74/36 as a mixed number is 2 ¹/₁₈