## ← Complex Fractions Practice 6 - Visualizing Algebra

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Showing Revision 2 created 05/24/2016 by Udacity Robot.

1. Three y plus two divided by y plus eight is correct. Great effort if you got

2. this one correct. Here, the L-C-D is y plus two. These are the only factors that
3. appear in the denominators inside of our complex fraction. We know we need to
4. multiply by the L-C-D divided by the L-C-D. So we really just distribute this to
5. each of our terms and our complex fraction. Next we simplify the common factors
6. from a numerator and denominator. This leaves us with 1 times y plus 2 here, 2y
7. here, 4 times y plus 2 in our denominator, and a negative 3y also in our
8. denominator. We can clean up this fraction by adding our light terms here to get
9. 3y plus 2. We can also distribute this 4 and our denominator. Giving us 4y plus
10. 8 minus 3y. We add like terms one more time to get our final fraction. You're a
11. pro. Way to go.