208/15 as a Decimal and Mixed Number

208/15 as a decimal and mixed number expansion provides the detailed information about what is 208/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

208/15 as a Decimal
208/15 = 13.8667
Hence,
208/15 as a decimal equals to 13.8667
where,
208/15 is a given fraction,
The decimal expansion of 208/15 is 13.8667

208/15 as a Mixed Number
208/15 = (195 + 13)/15
= 195/15 + 13/15
= 13 + 13/15
= 13 13/15
208/15 = 13 13/15

Hence,
208/15 as a mixed number is 13 ¹³/₁₅
where,
208/15 is a given fraction,
13 ¹³/₁₅ is the mixed number representation of 208/15.

The below work with steps provide the detailed information about how to convert fraction 208/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 208/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 208/15.

step 2 The numerator is greater than the denominator of the fraction 208/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 208/15
= 195 + 13/15
= (13 x 15) + 13/15

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

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


step 5 Find the decimal equivalent for the fractional part 13/15 in the above expression:
= 13 + 0.8667
= 13.8667
208/15 = 13.8667

Hence,
208/15 as a decimal is 13.8667
208/15 as a mixed number is 13 ¹³/₁₅