Solve the Nested Division Problem: 75:(8:(4:15))

Parentheses rule! You must work from the innermost parentheses outward. Think of it like peeling an onion - start from the center and work your way out layer by layer.

Division is fraction notation! $4 ÷ 15 = \frac{4}{15}$. This makes it easier to handle the next division step using the flip-and-multiply rule.

When dividing by a fraction, flip the fraction and multiply instead: $a ÷ \frac{b}{c} = a \times \frac{c}{b}$. So $8 ÷ \frac{4}{15} = 8 \times \frac{15}{4}$.

Look for common factors in numerator and denominator. Here, both 15 and 4 appear in top and bottom, so they cancel out: $\frac{15×5×4}{4×2×15} = \frac{5}{2}$.

Either form is correct! $\frac{5}{2} = 2\frac{1}{2}$ are the same value. Mixed numbers are often easier to understand, so convert when the answer asks for it.