Question

Find the number that is two thirds of the way from m to n.

Answer 1

any more info with this problem? like a picture maybe?

Answer 2

Nope. This is the entire amount of text given from my textbook.

Answer 3

no picture?

Answer 4

No picture.

Answer 5

Here's the entire problem. Maybe the first part will help.

Answer 6

It's like midpoint formula, but divides into three instead of 2.

Answer 7

Find one-third the distance between the two numbers, then add twice that distance to the first number.

Answer 8

How would I do that with just m and n?

Answer 9

Wait....so for part a. I got 16. Should it be 9?

Answer 10

How would you do it with -7 and 17?

Answer 11

Two-thirds from -7 to 17 is 9.

Answer 12

But from -7 to 17 it's 24 total....then that times 2/3 is 16. Why can't you do it just like that?

Answer 13

Because it is 16 steps from your starting point of -7, not 16 steps from 0.

Answer 14

Draw putting the numbers on a number line.

Answer 15

*Try putting . .

Answer 16

I still don't get how to do that with m and n.

Answer 17

Look at the steps you did with -7 and 17, but replace -7 with m and 17 with n.

Answer 18

So like 2(1/3d) + m ?

Answer 19

sortof, but what is d in terms of m and n?

Answer 20

In other words, how did you find 'd'?

Answer 21

I don't know....n-(-m)?

Answer 22

Actually...I think it is just n + (-m) or n-m

Answer 23

Right, distance is final position minus initial position.

Answer 24

So replace 'd' with (n-m).

Answer 25

okay. thanks.

Answer 26

so 2/3(n-m) + m

Answer 27

Yes, you can also simplify and factor to get (1/3)(m+2n)