Question

How do you simplify `(5)/(3b+d) - (2)/(3b+d )`?

Answer 1

`5/(3b+d)-2/(3b+d)=3/(3b+d)`

Explanation:

Here we have common denominators. When we have common denominators for example in `a/c+b/c` or `a/c-b/c`, we have to just add or subtract numerators according to sign between the fractions.

As such `a/c+b/c=(a+b)/c` and `a/c-b/c=(a-b)/c` and hence

`5/(3b+d)-2/(3b+d)`

= `(5-2)/(3b+d)`

= `3/(3b+d)`