Question

How do you solve `\frac { 1} { 57} b = \frac { 21090} { 285}`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(57)` to solve for `b` while keeping the equation balanced:

`color(red)(57) xx 1/57b = color(red)(57) xx 21090/285`

`cancel(color(red)(57)) xx 1/color(red)(cancel(color(black)(57)))b = cancel(color(red)(57)) xx 21090/(color(red)(cancel(color(black)(285)))5)`

`1b = 21090/5`

`b = 4218`