How do you solve #\frac { c } { 2\cdot 6} = \frac { 500} { 3\times 6}#?

1 Answer
smendyka
Nov 23, 2017

See a solution process below:

Explanation:

Multiply each side of the equation by #color(red)((2 * 6))# to solve for #c# while keeping the equation balanced:

#color(red)((2 * 6)) xx c/(2 * 6) = color(red)((2 * 6)) xx 500/(3 xx 6)#

#cancel(color(red)((2 * 6))) xx c/color(red)(cancel(color(black)(2 * 6))) = color(red)((2 * color(black)(cancel(color(red)(6))))) xx 500/(3 xx color(red)(cancel(color(black)(6))))#

#c = color(red)(2) xx 500/3#

#c = 1000/3# or #c = 333.bar3# or #c = 333.333...#

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