Question

How do you simplify `7/(4r)-3/t`?

Answer 1

See the solution process below:

Explanation:

If you want to simplify this expression by adding the two fractions you must first have each fraction over a common denominator. he Lowest Common Denominator for these two fractions is `4rt`. Therefore we must first multiply each fraction by the appropriate form of `1` to put each of them over this common denominator:

`7/(4r) - 3/t = (t/t xx 7/(4r)) - ((4r)/(4r) xx 3/t) = (t xx 7)/(t xx 4r) - (4r xx 3)/(4r xx t)`

`= (7t)/(4rt) - (12r)/(4rt)`

You can now add the numerators over the common denominator:

`(7t)/(4rt) - (12r)/(4rt) = (7t - 12r)/(4rt)`