Answer :

a) [tex]7 \frac{1}{2} + 2 \frac{4}{15} [/tex]

⇒[tex] \frac{15}{2} + \frac{34}{15} [/tex]

Now taking the LCM, LCM=30

⇒[tex] \frac{15×15+34×2}{30} [/tex]

⇒[tex] \frac{293}{30} [/tex]
Now converting into mixed fractions:

⇒[tex]9 \frac{23}{30} [/tex]

b) [tex]3 \frac{6}{7}× 4 \frac{2}{3} [/tex]

⇒[tex] \frac{27}{7} × \frac{14}{3} [/tex]

⇒18