How do you write 28a+5x3a+2a+7x9a as a single fraction?

1 Answer
Dec 27, 2016

4a8x9a

or

4(a+2x)9a

Explanation:

To add two fractions we need to have the fractions over a common denominator, in this case 9a.

Therefore we need to multiple the constant and first fraction by the appropriate form of 1:

(9a9a2)(338a+5x3a)+2a+7x9a

18a9a3(8a+5x)9a+2a+7x9a

We can now expand the terms within parenthesis for the second fraction:

18a9a24a+15x9a+2a+7x9a

We then can combine the numerators over a single common denominator:

18a24a15x+2a+7x9a

Next we can group like terms:

18a24a+2a15x+7x9a

Now we can combine like terms:

(1824+2)a+(15+7)x9a

4a8x9a

or

4(a+2x)9a