Question

find the quotient. simplify your answer completely. \\(\frac{ - \frac{12}{13} }{ \frac{4}{3} } = - \frac{?}{\square}\\) enter the number that belongs in the green box.

Explanation:

Step1: Rewrite division as multiplication

$\frac{-\frac{12}{13}}{\frac{4}{3}} = -\frac{12}{13} \times \frac{3}{4}$

Step2: Simplify the product

Cancel common factor 4: $-\frac{12\div4}{13} \times \frac{3}{4\div4} = -\frac{3}{13} \times 3$
Multiply numerators: $-\frac{3\times3}{13}$

Step3: Calculate final fraction

$-\frac{9}{13}$

Answer:

9