Question

How do you solve `64=6.28\times \frac{x}{32}`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(32)/color(blue)(6.28)` to solve for `x` while keeping the equation balanced:

`color(red)(32)/color(blue)(6.28) xx 64 = color(red)(32)/color(blue)(6.28) xx 6.28 xx x/32`

`2048/color(blue)(6.28) = cancel(color(red)(32))/cancel(color(blue)(6.28)) xx color(blue)(cancel(color(black)(6.28))) xx x/color(red)(cancel(color(black)(32)))`

`326.11 = x`

`x = 326.11` rounded to the nearest hundredth