40/12 as a Decimal and Mixed Number

40/12 as a decimal and mixed number expansion provides the detailed information about what is 40/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

40/12 as a Decimal
40/12 = 3.3333
Hence,
40/12 as a decimal equals to 3.3333
where,
40/12 is a given fraction,
The decimal expansion of 40/12 is 3.3333

40/12 as a Mixed Number
40/12 = (36 + 4)/12
= 36/12 + 4/12
= 3 + 4/12
= 3 4/12
40/12 = 3 4/12

Hence,
40/12 as a mixed number is 3 ⁴/₁₂
where,
40/12 is a given fraction,
3 ⁴/₁₂ is the mixed number representation of 40/12.

The below work with steps provide the detailed information about how to convert fraction 40/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 40/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 40/12.

step 2 The numerator is greater than the denominator of the fraction 40/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 40/12
= 36 + 4/12
= (3 x 12) + 4/12

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

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


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 3 + 0.3333
= 3.3333
40/12 = 3.3333

Hence,
40/12 as a decimal is 3.3333
40/12 as a mixed number is 3 ¹/₃