Question

find the quotient. write fractions in simplest form.
1\frac{4}{9}\div\left(-\frac{2}{9}\
ight)=\square

Explanation:

Step1: Convert mixed - number to improper fraction

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

Step2: Rewrite division as multiplication

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

Step3: Multiply the fractions

$\frac{13\times(- 9)}{9\times2}=-\frac{13}{2}=-6\frac{1}{2}$

Answer:

$-6\frac{1}{2}$