1. The problem asks: How many 35ths are equal to $\frac{4}{7}$? 2. We want to find a number $x$ such that $\frac{x}{35} = \frac{4}{7}$. 3. To solve for $x$, multiply both sides by 35: $$x = 35 \times \frac{4}{7}$$ 4. Simplify the multiplication: $$x = 35 \times \frac{4}{7} = 5 \times 4 = 20$$ 5. So, $\frac{4}{7}$ is equal to $\frac{20}{35}$. 6. Therefore, the number of 35ths equal to $\frac{4}{7}$ is 20. 7. The correct answer is option a) 20.