Answer: [tex] \frac{mq}{p^2} [/tex]
Explanation:
Before we begin, you need to remember that:
1- when we divide fractions, we convert the division into multiplication and flip the second fraction. In other words: [tex] \frac{a}{b} / \frac{c}{d} = \frac{a}{b} * \frac{d}{c} [/tex]
2- When multiplying fractions, we multiply the numerators together and the denominators together. In other words: [tex] \frac{a}{b} * \frac{c}{d} = \frac{ac}{bd} [/tex]
Now, for the given:
The given expression is: [tex] (\frac{m}{n} * \frac{n}{p} ) / (\frac{p}{q} ) [/tex]
We will start by computing the multiplication:
[tex] \frac{m}{n} * \frac{n}{p} = \frac{mn}{np} [/tex]
We can cancel out the n from both the numerator and the denominator, this will leave us with: [tex] \frac{m}{p} [/tex]
Now, the expression became [tex] \frac{m}{p} / \frac{p}{q} [/tex]
We compute the result based on the rules mentioned above as follows: [tex] \frac{m}{p} / \frac{p}{q} = \frac{m}{p} * \frac{q}{p} = \frac{mq}{p*p} = \frac{mq}{p^2} [/tex]
Hope this helps :)
