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

2 Answers
Mar 3, 2018

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

Mar 3, 2018

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