Question

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

Answer 1

See the entire solution process below:

Explanation:

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

`z=9`

Explanation:

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`