How do you solve #\frac { 3} { 40} = \frac { 5} { x }#?

1 Answer
smendyka
Jul 16, 2017

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 3/40 = color(red)(40)color(blue)(x) xx 5/x#

#cancel(color(red)(40))color(blue)(x) xx 3/color(red)(cancel(color(black)(40))) = color(red)(40)cancel(color(blue)(x)) xx 5/color(blue)(cancel(color(black)(x)))#

#3x = 200#

Step 2) Divide each side of the equation by #color(red)(3)# to solve for #x# while keeping the equation balanced:

#(3x)/color(red)(3) = 200/color(red)(3)#

#(color(red)(cancel(color(black)(3)))x)/cancel(color(red)(3)) = 200/3#

#x = 200/3#

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