We have been fractions and we are asked to simplify these fractions. Now let us start one by one.
1) [tex]3 \frac{1}{2}+\frac{1}{8}\\[/tex]
Upon changing mix fraction into improper fraction we will get [tex]\frac{7}{2}+\frac{1}{8}\\[/tex]
In order to simplify our fraction we need to make our denominators same. To make our denominators same we will multiply our first fraction by 4.
[tex]\frac{7\cdot 4}{2\cdot 4}+\frac{1}{8}=\frac{28+1}{8}\\
=\frac{29}{8}[/tex]
Since are options are mixed fractions we have to convert our answer into mixed fraction.
[tex]=\frac{29}{8}=3 \frac{5}{8}[/tex]
Option D is correct.
2) [tex]2 \frac{3}{4}+5 \frac{3}{5}\\[/tex]
[tex]\frac{11}{4}+\frac{28}{5}[/tex]
Now we will make both of our denominators same.
[tex]2 \frac{3}{4}+5\frac{3}{5}\\
\\
\frac{5\cdot 11}{5\cdot 4}+\frac{4\cdot 28}{4\cdot 5}\\
\\
\frac{55}{20}+\frac{112}{20}\\[/tex]
[tex]\frac{167}{20}\\
\\
8 \frac{7}{20}[/tex]
Therefore, correct choice is option (C).
Hope you can use these concepts to answer the rest of the questions :)
