Question

How do you solve `\frac { 3} { 5} + \frac { 1} { 4}t = \frac { 2} { 5}?`

Answer 1

See a solution process below:

Explanation:

First, subtract `color(red)(3/5)` from each side of the equation to isolate the `t` term while keeping the equation balanced:

`-color(red)(3/5) + 3/5 + 1/4t = -color(red)(3/5) + 2/5`

`0 + 1/4t = (-color(red)(3) + 2)/5`

`1/4t = -1/5`

Now, multiply each side of the equation by `color(red)(4)` to solve for `t` while keeping the equation balanced:

`color(red)(4) xx 1/4t = color(red)(4) xx -1/5`

`cancel(color(red)(4)) xx 1/color(red)(cancel(color(black)(4)))t = -4/5`

`t = -4/5`