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

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Answer 1 · 2018-03-03T16:32:35

See a solution process below:

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 · 2018-03-03T17:42:37

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#