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Verified Answer :

\(\dfrac{3}{5}+\dfrac{7}{8}=\\ \dfrac{24}{40}+\dfrac{35}{40}=\\ \dfrac{59}{40}\)

first you need to get the common denominator my multiply something like this 
3/5  8/8= 24/40
7/8 
 5/5= 35/40
now that we got a common denominator we can add
24/40 + 35/40 = 59/40 turned to the simplest form it would be 1_19/40
hope this helps