Question

How do you solve `\frac{11}{13}=\frac{10}{u}`?

Answer 1

See a solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(u)` to eliminate the fraction on the left side of the equation while keeping the equation balanced:

`11/13 xx color(red)(u) = 10/u xx color(red)(u)`

`11/13u = 10/color(red)(cancel(color(black)(u))) xx cancel(color(red)(u))`

`11/13u = 10`

Next, multiply each side of the equation by `color(red)(13)/color(blue)(11)` to solve for `u` while keeping the equation balanced:

`color(red)(13)/color(blue)(11) xx 11/13u = color(red)(13)/color(blue)(11) xx 10`

`cancel(color(red)(13))/cancel(color(blue)(11)) xx color(blue)(cancel(color(black)(11)))/color(red)(cancel(color(black)(13)))u = 130/11`

`u = 130/11`