How do you solve #\frac { z } { 10} = \frac { 45} { 50}#?

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Answer 1 · 2017-04-03T14:42:11

See the entire solution process below:

Multiply each side of the equation by #color(red)(10)# to solve for #z# while keeping the equation balanced:

#color(red)(10) xx z/10 = color(red)(10) xx 45/50#

#cancel(color(red)(10)) xx z/color(red)(cancel(color(black)(10))) = cancel(color(red)(10)) xx 45/(color(red)(cancel(color(black)(50)))5)#

#z = 45/5#

#z = 9#

Answer 2 · 2017-04-03T15:24:06

#z=9#

First things first, GET A COMMON DENOMINATOR
(We can multiply #z/10# by #5/5# to get the same denominator as #45/50#)

#z/10*5/5= (5z)/50#

Now the entire problem looks like:

#(5z)/50=45/50#

Now we focus on the numerators. (The denominator stays the same, but I removed it so it is easier to read and doesn't take as long to write down)

Numerator ------> #5z=45#

Solve for #z#

#z=45/5#

#z=9#

Now, put that over the denominator:

#9/10 = 45/50#