Question

How do you evaluate `\frac{10x}{108}=\frac{5}{9}`?

Answer 1

`x= 6`

Explanation:

`(10x)/108 = 5/9`
Cross multiply
`10x(9) = 108*5`
`90x = 540`
`x = 540/90`
`x=6`

I hope I helped!

Answer 2

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(108)/color(blue)(10)` to solve for `x` while keeping the equation balanced:

`color(red)(108)/color(blue)(10) xx (10x)/108 = color(red)(108)/color(blue)(10) xx 5/9`

`cancel(color(red)(108))/cancel(color(blue)(10)) xx (color(blue)(cancel(color(black)(10)))x)/color(red)(cancel(color(black)(108))) = (cancel(color(red)(108))12)/(cancel(color(blue)(10))2) xx color(blue)(cancel(color(black)(5)))/color(red)(cancel(color(black)(9)))`

`x = 12/2`

`x = 6`