76/12 as a Decimal and Mixed Number

76/12 as a decimal and mixed number expansion provides the detailed information about what is 76/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

76/12 as a Decimal
76/12 = 6.3333
Hence,
76/12 as a decimal equals to 6.3333
where,
76/12 is a given fraction,
The decimal expansion of 76/12 is 6.3333

76/12 as a Mixed Number
76/12 = (72 + 4)/12
= 72/12 + 4/12
= 6 + 4/12
= 6 4/12
76/12 = 6 4/12

Hence,
76/12 as a mixed number is 6 ⁴/₁₂
where,
76/12 is a given fraction,
6 ⁴/₁₂ is the mixed number representation of 76/12.

The below work with steps provide the detailed information about how to convert fraction 76/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/12.

step 2 The numerator is greater than the denominator of the fraction 76/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/12
= 72 + 4/12
= (6 x 12) + 4/12

step 3 Make the above expression as individual fractions:
= (6 x 12)/12 + 4/12

step 4 Simplify the above expression:
= 6 x 12/12 + 4/12
= 6 + 4/12
= 6 + 1 x 4/3 x 4
= 6 + 1/3
6 + 1/3 can be written as a mixed number 6 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 6 + 0.3333
= 6.3333
76/12 = 6.3333

Hence,
76/12 as a decimal is 6.3333
76/12 as a mixed number is 6 ¹/₃