find 1\\frac{4}{9}(-2\\frac{4}{7}). write your answer as a mixed number in simplest form.

Explanation:

Step1: Convert mixed number to improper fraction

$1\frac{4}{9}=\frac{1\times9 + 4}{9}=\frac{13}{9}$，$2\frac{4}{7}=\frac{2\times7+4}{7}=\frac{18}{7}$

Step2: Divide fractions

Dividing by a fraction is multiplying by its reciprocal. So $\frac{13}{9}\div\frac{18}{7}=\frac{13}{9}\times\frac{7}{18}$

Step3: Multiply numerators and denominators

$\frac{13\times7}{9\times18}=\frac{91}{162}$

Answer:

$\frac{91}{162}$