Question

find the quotient. write fractions in simplest form.
$-\frac{5}{6} div \frac{3}{10} = \square$

Explanation:

Step1: Rewrite division as multiplication

$-\frac{5}{6} \div \frac{3}{10} = -\frac{5}{6} \times \frac{10}{3}$

Step2: Multiply numerators and denominators

$-\frac{5 \times 10}{6 \times 3} = -\frac{50}{18}$

Step3: Simplify the fraction

$-\frac{50 \div 2}{18 \div 2} = -\frac{25}{9}$

Answer:

$-\frac{25}{9}$