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:

$9/10 = 45/50$

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