Question

How do you solve `\frac { 10} { 36} = \frac { 55} { d }`?

Answer 1

See a solution process below:

Explanation:

First, multiply each side of the equation by `color(red)(36)color(blue)(d)` to eliminate the fractions while keeping the equation balanced:

`color(red)(36)color(blue)(d) xx 10/36 = color(red)(36)color(blue)(d) xx 55/d`

`cancel(color(red)(36))color(blue)(d) xx 10/color(red)(cancel(color(black)(36))) = color(red)(36)cancel(color(blue)(d)) xx 55/color(blue)(cancel(color(black)(d)))`

`10d = color(red)(36) xx 55`

`10d = 1980`

Now, divide each side of the equation by `color(red)(10)` to solve for `d` while keeping the equation balanced:

`(10d)/color(red)(10) = 1980/color(red)(10)`

`(color(red)(cancel(color(black)(10)))d)/cancel(color(red)(10)) = 198`

`d = 198`