Similar triangles. How does 4/6 turn into 2h/3 ?

[nukeman]

Homework Statement

r/h = 4/6

This turns into: r = 2h/3

How, can someone please refresh me? I am doing a related rates problem, and I for this! :(

Homework Equations

The Attempt at a Solution

 

[dextercioby]

Isn't 4/6 = 2/3 ? (Everything is written in basis 10).

 

[Mark44]

Homework Statement

r/h = 4/6

This turns into: r = 2h/3

How, can someone please refresh me? I am doing a related rates problem, and I for this! :(

Homework Equations

The Attempt at a Solution

r/h = 4/6 = 2/3

Now multiply both sides of this equation by h.

 

[nukeman]

4/6 * x = 2x/3x ?

Why is just 2x/3 ?

 

[dextercioby]

The multiplication affects only the numerator. Think about it as (6/4)x5 = (6:4)x 5 = 6:4x5 = 6x5:4 = 30:4 = 7.5

 

[HallsofIvy]

If you are doing things involving "related rates" and Calculus, I think we have right to assume that you can do arithmetic! 4/6= (2*2)/(2*3)= 2/3!

 

[Mark44]

If you are doing things involving "related rates" and Calculus, I think we have right to assume that you can do arithmetic! 4/6= (2*2)/(2*3)= 2/3!

And if this assumption by us is incorrect, then you are going to have a very difficult time in calculus.