Let's solve the multiplication of fractions and mixed numbers from the provided image. I'll walk through some of the problems step by step.

36. $1 \frac{1}{3} \times \frac{2}{3}$

1. Convert the mixed number $1 \frac{1}{3}$ to an improper fraction: $1 \frac{1}{3} = \frac{4}{3}$
2. Multiply the fractions: $\frac{4}{3} \times \frac{2}{3} = \frac{4 \times 2}{3 \times 3} = \frac{8}{9}$ So, the answer is $\frac{8}{9}$.

37. $6 \frac{2}{3} \times \frac{3}{10}$

1. Convert the mixed number $6 \frac{2}{3}$ to an improper fraction: $6 \frac{2}{3} = \frac{20}{3}$
2. Multiply the fractions: $\frac{20}{3} \times \frac{3}{10} = \frac{20 \times 3}{3 \times 10} = \frac{60}{30} = 2$ So, the answer is $2$.

38. $2 \frac{1}{2} \times \frac{4}{5}$

1. Convert $2 \frac{1}{2}$ to an improper fraction: $2 \frac{1}{2} = \frac{5}{2}$
2. Multiply the fractions: $\frac{5}{2} \times \frac{4}{5} = \frac{5 \times 4}{2 \times 5} = \frac{20}{10} = 2$ So, the answer is $2$.

39. $\frac{3}{5} \times \frac{3}{3}$

Since $\frac{3}{3} = 1$, multiplying any number by 1 gives the same number. Therefore: $\frac{3}{5} \times 1 = \frac{3}{5}$ So, the answer is $\frac{3}{5}$.

40. $7 \frac{1}{2} \times \frac{2}{3}$

1. Convert $7 \frac{1}{2}$ to an improper fraction: $7 \frac{1}{2} = \frac{15}{2}$
2. Multiply the fractions: $\frac{15}{2} \times \frac{2}{3} = \frac{15 \times 2}{2 \times 3} = \frac{30}{6} = 5$ So, the answer is $5$.

These are the solutions for problems 36-40. Do you want me to continue with the other problems or go over anything in more detail?

Here are 5 questions to help reinforce these concepts:

1. How do you convert a mixed number into an improper fraction?
2. What happens when you multiply a fraction by 1?
3. Why do we multiply both the numerators and the denominators when multiplying fractions?
4. Can you simplify the result $\frac{20}{10}$ before multiplying the fractions?
5. How do you know when the result of multiplying fractions needs to be simplified?

Tip: Always simplify the fractions before multiplying if possible, to make calculations easier!