Question

1. (14/19)(-24/-29)

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{4}{9}=\frac{9\times1 + 4}{9}=\frac{13}{9}$

Step2: Multiply fractions

$\frac{13}{9}\times(-\frac{24}{2})=\frac{13\times(- 24)}{9\times2}$

Step3: Simplify the numerator and denominator

$13\times(-24)=-312$ and $9\times2 = 18$. So, $\frac{-312}{18}$

Step4: Reduce the fraction

$\frac{-312\div6}{18\div6}=-\frac{52}{3}=-17\frac{1}{3}$

Answer:

$-\frac{52}{3}$