30/12 as a Decimal and Mixed Number

30/12 as a decimal and mixed number expansion provides the detailed information about what is 30/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

30/12 as a Decimal
30/12 = 2.5
Hence,
30/12 as a decimal equals to 2.5
where,
30/12 is a given fraction,
The decimal expansion of 30/12 is 2.5

30/12 as a Mixed Number
30/12 = (24 + 6)/12
= 24/12 + 6/12
= 2 + 6/12
= 2 6/12
30/12 = 2 6/12

Hence,
30/12 as a mixed number is 2 ⁶/₁₂
where,
30/12 is a given fraction,
2 ⁶/₁₂ is the mixed number representation of 30/12.

The below work with steps provide the detailed information about how to convert fraction 30/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 30/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 30/12.

step 2 The numerator is greater than the denominator of the fraction 30/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 30/12
= 24 + 6/12
= (2 x 12) + 6/12

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

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


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (1/2 x 5/5)
= 2 + 5/10

step 6 Simplify the above expression further:
= 2 + 0.5
= 2.5
30/12 = 2.5

Hence,
30/12 as a decimal is 2.5
30/12 as a mixed number is 2 ¹/₂