200/12 as a Decimal and Mixed Number

200/12 as a decimal and mixed number expansion provides the detailed information about what is 200/12 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/12 as a Decimal
200/12 = 16.6667
Hence,
200/12 as a decimal equals to 16.6667
where,
200/12 is a given fraction,
The decimal expansion of 200/12 is 16.6667

200/12 as a Mixed Number
200/12 = (192 + 8)/12
= 192/12 + 8/12
= 16 + 8/12
= 16 8/12
200/12 = 16 8/12

Hence,
200/12 as a mixed number is 16 ⁸/₁₂
where,
200/12 is a given fraction,
16 ⁸/₁₂ is the mixed number representation of 200/12.

The below work with steps provide the detailed information about how to convert fraction 200/12 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/12

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/12.

step 2 The numerator is greater than the denominator of the fraction 200/12, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/12
= 192 + 8/12
= (16 x 12) + 8/12

step 3 Make the above expression as individual fractions:
= (16 x 12)/12 + 8/12

step 4 Simplify the above expression:
= 16 x 12/12 + 8/12
= 16 + 8/12
= 16 + 2 x 4/3 x 4
= 16 + 2/3
16 + 2/3 can be written as a mixed number 16 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 16 + 0.6667
= 16.6667
200/12 = 16.6667

Hence,
200/12 as a decimal is 16.6667
200/12 as a mixed number is 16 ²/₃