Question

How do you solve `\frac { 33} { 40} = \frac { 45} { x }`?

Answer 1

See a solution process below:

Explanation:

Step 1) Multiply each side of the equation by `color(red)(40)color(blue)(x)` to eliminate the fractions while keeping the equation balanced:

`color(red)(40)color(blue)(x) xx 33/40 = color(red)(40)color(blue)(x) xx 45/x`

`cancel(color(red)(40))color(blue)(x) xx 33/color(red)(cancel(color(black)(40))) = color(red)(40)cancel(color(blue)(x)) xx 45/color(blue)(cancel(color(black)(x)))`

`33x = 1800`

Step 2) Divide each side of the equation by `color(red)(33)` to solve for `x` while keeping the equation balanced:

`(33x)/color(red)(33) = 1800/color(red)(33)`

`(color(red)(cancel(color(black)(33)))x)/cancel(color(red)(33)) = (3 xx 600)/(3 xx 11)`

`x = (color(red)(cancel(color(black)(3))) xx 600)/(color(red)(cancel(color(black)(3))) xx 11)`

`x = 600/11`