74/12 as a Decimal and Mixed Number

74/12 as a decimal and mixed number expansion provides the detailed information about what is 74/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

74/12 as a Decimal
74/12 = 6.1667
Hence,
74/12 as a decimal equals to 6.1667
where,
74/12 is a given fraction,
The decimal expansion of 74/12 is 6.1667

74/12 as a Mixed Number
74/12 = (72 + 2)/12
= 72/12 + 2/12
= 6 + 2/12
= 6 2/12
74/12 = 6 2/12

Hence,
74/12 as a mixed number is 6 ²/₁₂
where,
74/12 is a given fraction,
6 ²/₁₂ is the mixed number representation of 74/12.

The below work with steps provide the detailed information about how to convert fraction 74/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 74/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 74/12.

step 2 The numerator is greater than the denominator of the fraction 74/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 74/12
= 72 + 2/12
= (6 x 12) + 2/12

step 3 Make the above expression as individual fractions:
= (6 x 12)/12 + 2/12

step 4 Simplify the above expression:
= 6 x 12/12 + 2/12
= 6 + 2/12
= 6 + 1 x 2/6 x 2
= 6 + 1/6
6 + 1/6 can be written as a mixed number 6 ¹/₆.


step 5 Find the decimal equivalent for the fractional part 1/6 in the above expression:
= 6 + 0.1667
= 6.1667
74/12 = 6.1667

Hence,
74/12 as a decimal is 6.1667
74/12 as a mixed number is 6 ¹/₆