Question

Perform the indicated operation. Be sure the answer is reduced. m/n*n/p divided by p/q

Answer 1

Answer: $\frac{mq}{p^2}$

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: $\frac{a}{b} / \frac{c}{d} = \frac{a}{b} * \frac{d}{c}$

2- When multiplying fractions, we multiply the numerators together and the denominators together. In other words: $\frac{a}{b} * \frac{c}{d} = \frac{ac}{bd}$

Now, for the given:

The given expression is: $(\frac{m}{n} * \frac{n}{p} ) / (\frac{p}{q} )$

We will start by computing the multiplication:

$\frac{m}{n} * \frac{n}{p} = \frac{mn}{np}$

We can cancel out the n from both the numerator and the denominator, this will leave us with: $\frac{m}{p}$

Now, the expression became $\frac{m}{p} / \frac{p}{q}$

We compute the result based on the rules mentioned above as follows: $\frac{m}{p} / \frac{p}{q} = \frac{m}{p} * \frac{q}{p} = \frac{mq}{p*p} = \frac{mq}{p^2}$

Hope this helps :)

Answer 2

Answer:

The answer is mq / p^2