Question

Write as a single fraction in their
lowest terms:
2/x + 1/x-3

Answer 1

`(3x-6)/(x(x-3))`

Explanation:

We require the denominators of the fractions to be common.

Multiply numerator/denominator of first fraction by x - 3

Multiply numerator/denominator of second fraction by x

Then

=
`(2(x-3))/(x(x-3))` +
`(x)/(x(x-3))` ( simplify numerators, leaving the common denominator

=
`(2x-6+x)/(x(x-3))`

=
`(3x-6)/(x(x-3)\\)`