How do you simplify (14r)/(9-r)-(2r)/(r-9)?

1 Answer
smendyka
Jul 30, 2017

See a solution process below:

Explanation:

To subtract these fractions we need them to be over a common denominator. Because the denominators are the "opposites" of each other we can multiple one of the fractions by the form of 1 of -1/-1:

((-1)/-1 xx (14r)/(9 - r)) - (2r)/(r - 9) =>

(-1 xx 14r)/(-1(9 - r)) - (2r)/(r - 9) =>

(-14r)/(-9 + r) - (2r)/(r - 9) =>

(-14r)/(r - 9) - (2r)/(r - 9)

We can now subtract the numerators of the two fractions over the common denominator:

(-14r - 2r)/(r - 9) =>

((-14 - 2)r)/(r - 9) =>

(-16r)/(r - 9)

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