Question

How do you solve `11/10=r/11`?

Answer 1

`r=121/10`

Explanation:

Multiplying by `11` we get
`121/10=r`

Answer 2

Divide both sides by `r`'s coefficient and you have your answer:
`r=121/10=12.1`

Explanation:

Making this easy, we want to know what `r` is. Currently, we know the value of `r/11`, so it would stand to make sense that we need to divide both sides by `r`'s coefficient `(1/11)`, which is the same as multiplying by its inverse, 11:

`11/10xxcolor(red)(11)=r/11xxcolor(red)(11)`

`(11xxcolor(red)(11))/10=(color(red)(cancel(11))r)/cancel(11)`

`color(green)(r=121/10=12.1)`