12/8 as a Decimal and Mixed Number

12/8 as a decimal and mixed number expansion provides the detailed information about what is 12/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

12/8 as a Decimal
12/8 = 1.5
Hence,
12/8 as a decimal equals to 1.5
where,
12/8 is a given fraction,
The decimal expansion of 12/8 is 1.5

12/8 as a Mixed Number
12/8 = (8 + 4)/8
= 8/8 + 4/8
= 1 + 4/8
= 1 4/8
12/8 = 1 4/8

Hence,
12/8 as a mixed number is 1 ⁴/₈
where,
12/8 is a given fraction,
1 ⁴/₈ is the mixed number representation of 12/8.

The below work with steps provide the detailed information about how to convert fraction 12/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 12/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 12/8.

step 2 The numerator is greater than the denominator of the fraction 12/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 12/8
= 8 + 4/8

step 3 Make the above expression as individual fractions:
= 8/8 + 4/8

step 4 Simplify the above expression:
= 1 x 8/8 + 4/8
= 1 + 4/8
= 1 + 1 x 4/2 x 4
= 1 + 1/2
1 + 1/2 can be written as a mixed number 1 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:
= 1 + (1/2 x 5/5)
= 1 + 5/10

step 6 Simplify the above expression further:
= 1 + 0.5
= 1.5
12/8 = 1.5

Hence,
12/8 as a decimal is 1.5
12/8 as a mixed number is 1 ¹/₂