Answer
$-\frac{4}{3}$
Work Step by Step
First, we multiply the numerators by each other and the denominators by each other:
$-\frac{6}{13}\times\frac{26}{9}=-\frac{6\times26}{13\times9}=-\frac{156}{117}$
Next, we simplify the resultant expression to obtain the answer:
$-\frac{156}{117}=-\frac{52\times3}{39\times3}=-\frac{52}{39}=-\frac{13\times4}{13\times3}=-\frac{4}{3}$