How do you solve \frac { 8} { v } = \frac { 17} { 11}?

2 Answers
Mar 10, 2018

v=88/17

Explanation:

We can cross-multiply to solve this ratio for v. I'll color-code it so you can see what I mean:

color(blue)8/color(red)v=color(red)17/color(blue)11

When we cross-multiply, we multiply in the pattern of an x. It will be blue times blue, equal to red times red. We get:

88=17v

And we can swap the sides if we like:

17v=88

We can divide both sides by 17 to get:

v=88/17

Mar 10, 2018

v=88/17

Explanation:

8/v = 17/11

You solve this by doing cross multiply

(8)(11) = (v)(17)

88 = 17v

Flip the equation

17v = 88

Divide both sides by 17

(cancel17v)/cancel17=88/17

v=88/17