Answer:
4 19/24
Explanation:
First, we need to convert the mixed numbers into a fraction, so:
[tex]\begin{gathered} 3\frac{5}{12}=\frac{3\times12+5}{12}=\frac{36+5}{12}=\frac{41}{12} \\ 1\frac{3}{8}=\frac{1\times8+3}{8}=\frac{8+3}{8}=\frac{11}{8} \end{gathered}[/tex]Then, we can add the fractions as follows:
[tex]\frac{41}{12}+\frac{11}{8}=\frac{41(8)+12(11)}{12(8)}=\frac{328+132}{96}=\frac{460}{96}[/tex]Finally, we can simplify the fraction and write the fraction as a mixed number as:
[tex]\frac{460}{96}=\frac{460\div4}{96\div4}=\frac{115}{24}[/tex][tex]\frac{115}{24}=4\frac{19}{24}[/tex]Because when we divide 115 by 24, we get 4 as a quotient and 19 as a remainder.
Therefore, the answer is: 4 19/24