200/30 as a Decimal and Mixed Number

200/30 as a decimal and mixed number expansion provides the detailed information about what is 200/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

200/30 as a Decimal
200/30 = 6.6667
Hence,
200/30 as a decimal equals to 6.6667
where,
200/30 is a given fraction,
The decimal expansion of 200/30 is 6.6667

200/30 as a Mixed Number
200/30 = (180 + 20)/30
= 180/30 + 20/30
= 6 + 20/30
= 6 20/30
200/30 = 6 20/30

Hence,
200/30 as a mixed number is 6 ²⁰/₃₀
where,
200/30 is a given fraction,
6 ²⁰/₃₀ is the mixed number representation of 200/30.

The below work with steps provide the detailed information about how to convert fraction 200/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 200/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 200/30.

step 2 The numerator is greater than the denominator of the fraction 200/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 200/30
= 180 + 20/30
= (6 x 30) + 20/30

step 3 Make the above expression as individual fractions:
= (6 x 30)/30 + 20/30

step 4 Simplify the above expression:
= 6 x 30/30 + 20/30
= 6 + 20/30
= 6 + 2 x 10/3 x 10
= 6 + 2/3
6 + 2/3 can be written as a mixed number 6 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 6 + 0.6667
= 6.6667
200/30 = 6.6667

Hence,
200/30 as a decimal is 6.6667
200/30 as a mixed number is 6 ²/₃