Question

How do you simplify `7/(5t)-(3+t)/(5t)`?

Answer 1

`(4-t)/(5t)`

Explanation:

Before adding/subtracting fractions they must have a `color(blue)"common denominator"`

These fractions have a common denominator of `color(blue)(5t)` and so we can subtract the numerators while leaving the denominator as it is.

`rArr7/(5t)-(3+t)/(5t)`

`=(7-(3+t))/(5t)`

`=(7-3-t)/(5t)`

`=(4-t)/(5t)`