Question

How do you solve `\frac { 1} { 6} = \frac { x } { 200}`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(200)` to solve for `x` while keeping the equation balanced:

`color(red)(200) xx 1/6 = color(red)(200) xx x/200`

`color(red)(200)/6 = cancel(color(red)(200)) xx x/color(red)(cancel(color(black)(200)))`

`color(red)(2 xx 100)/(2 xx 3) = x`

`color(red)(color(black)(cancel(color(red)(2))) xx 100)/(color(red)(cancel(color(black)(2))) xx 3) = x`

`100/3 = x`

`x = 100/3`

Answer 2

Start with cross multiplication

`(x)(6) = (1)(200)`

`6x = 200`

Divide both sides by `6`

`(6x)/6=200/6`

`x=100/3`

Decimal: `33.33`