Answer:
![4\ (1)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bj989a2yqfpc6qmlx5eip39a3cahcxw431.png)
Explanation:
We can convert the Mixed numbers to Improper fractions:
- Multiply the the whole number part by the denominator of the fraction.
- Add the product obtained and the numerator of the fraction.
- The sum obtained will be the new numerator.
- The denominator does not change.
Then:
![(1\ (1)/(3))+(2\ (3)/(4))=((1*3)+1)/(3)+((4*2)+3)/(4)=(4)/(3)+(11)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fkwqbu3lqd2axehrprx2bdofg8zfiub5c0.png)
Now find the Least Common Denominator (LCD) and add the fractions:
![=(16+33)/(12)=(49)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hnmytobkip6652l3rsnb8o4igyfrv4dae1.png)
Finally, you can convert back to Mixed numbers:
-Divide the numerator by the denominator.
- Write the whole number.
- The remainder will be the new numerator.
- The denominator does not change.
Then:
![=4\ (1)/(12)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/4wgqzr11jxq0ndgqi4tytxsmoz6nu7b4kg.png)