Question

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

Answer 1

The answer is mq / p^2

Answer 2

Answer:
`(mq)/(p^2)`

Step-by-step 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:
`(a)/(b) / (c)/(d) = (a)/(b) * (d)/(c)`

2- When multiplying fractions, we multiply the numerators together and the denominators together. In other words:
`(a)/(b) * (c)/(d) = (ac)/(bd)`

Now, for the given:

The given expression is:
`((m)/(n) * (n)/(p) ) / ((p)/(q) )`

We will start by computing the multiplication:

`(m)/(n) * (n)/(p) = (mn)/(np)`

We can cancel out the n from both the numerator and the denominator, this will leave us with:
`(m)/(p)`

Now, the expression became
`(m)/(p) / (p)/(q)`

We compute the result based on the rules mentioned above as follows:
`(m)/(p) / (p)/(q) = (m)/(p) * (q)/(p) = (mq)/(p*p) = (mq)/(p^2)`

Hope this helps :)