Question

How do you solve `9//3(8 xx 3//24) = N`?

Answer 1

See a solution process below:

Explanation:

First, we need to evaluate the term within the Parenthesis. For this expression we need to evaluate the Multiplication and Division from left to right:

`9//3(color(red)(8) xx color(blue)(3)//24) = N`

`9//3(color(red)(24)//color(blue)(24)) = N`

`9//3 xx 1 = N`

We can now evaluate the remaining Division and Multiplication operations from left to right:

`color(red)(9)//color(blue)(3) xx 1 = N`

`color(red)(3) xx color(blue)(1) = N`

`3 = N`

`N = 3`

Answer 2

`N =3`

Explanation:

Note that this is all one term, but within a term there is a specific order to be followed.

However, in this case, as all the operations are multiplication it will not matter which you do first.

`9/3(8xx3/24) = N`

This can also be written as `9/3 xx8/1xx3/24 =N`

It is simpler to cancel like factors in the numerator and the denominator first, rather than multiplying and then trying to simplify the big numbers.

`cancel9^3/cancel3 xxcancel8/1xxcancel3/cancel24^cancel3 =N`

`N=3`