Multiplying and Dividing Algebraic Fractions PLS HELP?

Question

$(2x)/(4(a+3))×(3a)/(15x)$

The answer is

$(a)/(10(a+3))$

But i dont know how they got to that step. Can someone please help me.

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Answer 1 · 2018-01-24T10:47:35

See the explanation below.

$(2x)/(4(a+3))*(3a)/(15x)$

Just mutiply the top and bottom parts together to get

$=(2x*3a)/(15x*4(a+3))$

$=(6ax)/(60x(a+3)$

Now, the $x$ 's cancel.

$(6acancelx)/(60cancelx(a+3)$

$(6a)/(60(a+3)$

Here, we can still divide by the greatest common factor of $6$ and $60$ , which is $6$ , to further reduce the fraction.

$:.=a/(10(a+3))$

I hope that helps!