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

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Answer 1 · 2018-03-10T18:16:05

#v=88/17#

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#

Answer 2 · 2018-03-10T18:18:15

#v=88/17#

#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#