Question

multiply.
$left(-\frac{4}{9}
ight)cdotleft(-\frac{9}{7}
ight)$
write your answer in simplest form.

Explanation:

Step1: Multiply the numerators

The numerators are -4 and -9. Multiplying two negative numbers gives a positive result. So, \((-4)\times(-9) = 36\).

Step2: Multiply the denominators

The denominators are 9 and 7. Multiplying them gives \(9\times7 = 63\).

Step3: Simplify the fraction

We have the fraction \(\frac{36}{63}\). Both 36 and 63 are divisible by 9. Dividing the numerator and denominator by 9, we get \(\frac{36\div9}{63\div9}=\frac{4}{7}\).

Answer:

\(\frac{4}{7}\)