Answer :

To add the mixed numbers [tex]\(6 \frac{11}{15}\)[/tex] and [tex]\(2 \frac{14}{15}\)[/tex], let's follow these steps:

1. Convert the mixed numbers to improper fractions:

- The first mixed number is [tex]\(6 \frac{11}{15}\)[/tex]. To convert it to an improper fraction:
[tex]\[
6 \times 15 + 11 = 90 + 11 = 101
\][/tex]
So, it becomes [tex]\(\frac{101}{15}\)[/tex].

- The second mixed number is [tex]\(2 \frac{14}{15}\)[/tex]. To convert it to an improper fraction:
[tex]\[
2 \times 15 + 14 = 30 + 14 = 44
\][/tex]
So, it becomes [tex]\(\frac{44}{15}\)[/tex].

2. Add the improper fractions:

Add [tex]\(\frac{101}{15}\)[/tex] and [tex]\(\frac{44}{15}\)[/tex]:
[tex]\[
\frac{101}{15} + \frac{44}{15} = \frac{145}{15}
\][/tex]

3. Convert the total to a mixed number:

- Divide the numerator by the denominator:
[tex]\[
145 \div 15 = 9 \text{ with a remainder of } 10
\][/tex]
- So, the mixed number is [tex]\(9 \frac{10}{15}\)[/tex].

4. Simplify the fraction [tex]\(\frac{10}{15}\)[/tex]:

Simplify [tex]\(\frac{10}{15}\)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 5:
[tex]\[
\frac{10}{15} = \frac{2}{3}
\][/tex]

Therefore, the sum of [tex]\(6 \frac{11}{15} + 2 \frac{14}{15}\)[/tex] is [tex]\(9 \frac{2}{3}\)[/tex].

Thanks for taking the time to read Add tex 6 frac 11 15 2 frac 14 15 tex Enter your answer as a mixed number. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada