209/13 as a Decimal and Mixed Number

209/13 as a decimal and mixed number expansion provides the detailed information about what is 209/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

209/13 as a Decimal
209/13 = 16.0769
Hence,
209/13 as a decimal equals to 16.0769
where,
209/13 is a given fraction,
The decimal expansion of 209/13 is 16.0769

209/13 as a Mixed Number
209/13 = (208 + 1)/13
= 208/13 + 1/13
= 16 + 1/13
= 16 1/13
209/13 = 16 1/13

Hence,
209/13 as a mixed number is 16 ¹/₁₃
where,
209/13 is a given fraction,
16 ¹/₁₃ is the mixed number representation of 209/13.

The below work with steps provide the detailed information about how to convert fraction 209/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 209/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 209/13.

step 2 The numerator is greater than the denominator of the fraction 209/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 209/13
= 208 + 1/13
= (16 x 13) + 1/13

step 3 Make the above expression as individual fractions:
= (16 x 13)/13 + 1/13

step 4 Simplify the above expression:
= 16 x 13/13 + 1/13
= 16 + 1/13
16 + 1/13 can be written as a mixed number 16 ¹/₁₃.


step 5 Find the decimal equivalent for the fractional part 1/13 in the above expression:
= 16 + 0.0769
= 16.0769
209/13 = 16.0769

Hence,
209/13 as a decimal is 16.0769
209/13 as a mixed number is 16 ¹/₁₃