How do you simplify $\frac{5 a + 10 b}{4 a + 8 b}$ $(5a+10b) /( 4a+8b)$ ?

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Answer 1 · 2017-02-17T22:23:10

See the entire simplification process below:

First, factor the numerator and denominator:

$\frac{5 a + 10 b}{4 a + 8 b} \to \frac{5 (a + 2 b)}{4 (a + 2 b)}$ $(5a + 10b)/(4a + 8b) -> (5(a + 2b))/(4(a + 2b))$

Now, we can cancel common terms:

$(5color(red)(cancel(color(black)((a + 2b)))))/(4color(red)(cancel(color(black)((a + 2b))))) = 5/4$ When $4a + 8b != 0$

How do you simplify (5a+10b) /( 4a+8b)5a+10b4a+8b(5a+10b) /( 4a+8b)?