204/13 as a Decimal and Mixed Number

204/13 as a decimal and mixed number expansion provides the detailed information about what is 204/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/13 as a Decimal
204/13 = 15.6923
Hence,
204/13 as a decimal equals to 15.6923
where,
204/13 is a given fraction,
The decimal expansion of 204/13 is 15.6923

204/13 as a Mixed Number
204/13 = (195 + 9)/13
= 195/13 + 9/13
= 15 + 9/13
= 15 9/13
204/13 = 15 9/13

Hence,
204/13 as a mixed number is 15 ⁹/₁₃
where,
204/13 is a given fraction,
15 ⁹/₁₃ is the mixed number representation of 204/13.

The below work with steps provide the detailed information about how to convert fraction 204/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/13.

step 2 The numerator is greater than the denominator of the fraction 204/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/13
= 195 + 9/13
= (15 x 13) + 9/13

step 3 Make the above expression as individual fractions:
= (15 x 13)/13 + 9/13

step 4 Simplify the above expression:
= 15 x 13/13 + 9/13
= 15 + 9/13
15 + 9/13 can be written as a mixed number 15 ⁹/₁₃.


step 5 Find the decimal equivalent for the fractional part 9/13 in the above expression:
= 15 + 0.6923
= 15.6923
204/13 = 15.6923

Hence,
204/13 as a decimal is 15.6923
204/13 as a mixed number is 15 ⁹/₁₃