Question

multiply.
-\frac{1}{9}(-\frac{3}{7})
write your answer in simplest form.

Explanation:

Step1: Multiply the numerators and denominators

When multiplying two fractions $\frac{a}{b}\times\frac{c}{d}=\frac{a\times c}{b\times d}$. Here, $a = - 1$, $b=9$, $c=-3$, $d = 7$. So we have $\frac{(-1)\times(-3)}{9\times7}$.

Step2: Calculate the products

$(-1)\times(-3)=3$ and $9\times7 = 63$. So the fraction is $\frac{3}{63}$.

Step3: Simplify the fraction

Find the greatest - common divisor (GCD) of 3 and 63. The GCD of 3 and 63 is 3. Divide both the numerator and denominator by 3: $\frac{3\div3}{63\div3}=\frac{1}{21}$.

Answer:

$\frac{1}{21}$