Question

e. $6\frac{3}{12}+5\frac{1}{9}=$

Explanation:

Step1: Add the whole numbers

First, add the whole number parts of the mixed numbers. The whole numbers are 6 and 5. So, \(6 + 5 = 11\).

Step2: Add the fractional parts

Next, add the fractional parts \(\frac{3}{12}\) and \(\frac{1}{9}\). To add these fractions, we need a common denominator. The least common denominator of 12 and 9 is 36. Convert \(\frac{3}{12}\) to \(\frac{9}{36}\) (by multiplying numerator and denominator by 3) and \(\frac{1}{9}\) to \(\frac{4}{36}\) (by multiplying numerator and denominator by 4). Then, \(\frac{9}{36}+\frac{4}{36}=\frac{13}{36}\).

Step3: Combine the results

Now, combine the sum of the whole numbers and the sum of the fractions. So, \(11+\frac{13}{36}=11\frac{13}{36}\).

Answer:

\(11\frac{13}{36}\)