How do you simplify (6a+18)/(9a+27)?

1 Answer
smendyka
Feb 16, 2017

Se the entire simplification process below:

Explanation:

First, factor the numerator and denominator as:

(6a + 18)/(9a + 27) = (6(a + 3))/(9(a + 3)) = ((3 xx 2)(a + 3))/((3 xx 3)(a + 3))

We can now cancel common terms in the numerator and denominator:

((color(red)(cancel(color(black)(3))) xx 2)color(blue)(cancel(color(black)((a + 3)))))/((color(red)(cancel(color(black)(3))) xx 3)color(blue)(cancel(color(black)((a + 3))))) = 2/3

However, because 9a + 27 cannot equal 0 the complete answer is:

2/3 where a != -3

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