Question

How do you simplify `\frac { 1} { 2} n = 3\frac { 7} { 15}`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(2)` to solve for `n` while keeping the equation balanced:

`color(red)(2) xx 1/2n = color(red)(2) xx 3 7/15`

`cancel(color(red)(2)) xx 1/color(red)(cancel(color(black)(2)))n = color(red)(2)(3 + 7/15)`

`1n = (color(red)(2) xx 3) + (color(red)(2) xx 7/15)`

`n = 6 + 14/15`

`n = 6 14/15`