Posted by **Neil** on Wednesday, January 9, 2013 at 4:23pm.

Simplify the Complex Fractions

1. 8a / 3b^2 / 6ab /5

2. 42x^2 + 14x / x - 7 / 2 + 6x / 21 - 3x

3. 9 + 3 / x / x / 4 + 1 /12

4. (x^-1 + x^-2)divided by (9x^-2)

Ans. #1: 20 / 9

Ans. #2: 42x^2 + 6x + 4 / -2x + 14

Ans. #3: 144 / x / 3x + 1

I don't know how to do #4

- Math For College Readiness -
**Steve**, Wednesday, January 9, 2013 at 4:35pm
I have trouble interpreting you run-on compound fractions. How about some parentheses so we know what's what?

(x^-1 + x^-2)/(9-x^2)

(1/x + 1/x^2)/(9-x^2)

(x+1)/(x^2 (9-x^2))

This doesn't simplify much.

- Math For College Readiness -
**Neil**, Wednesday, January 9, 2013 at 4:42pm
1. (8a / 3b^2) / (6ab / 5)

2. (42x^2 + 14x) / (x - 7) / (2 + 6x / 21 - 3x)

3. (9 + 3 / x) / (x / 4 + 1 /12)

- Math For College Readiness -
**Steve**, Wednesday, January 9, 2013 at 4:49pm
1. (8a)/(3b^2) * (5)/(6ab) = (40a)/(18ab^3) = 20/(9b^3)

2. (14x)(3x+1)/(x-7) * 3(7-x) / (2(3x+1))

= 42x(3x+1)(7-x) / 2(x-7)(3x+1)

= -21x

3. (9x+3)/x / (3x+1)/12

= 3(3x+1)/x * 12/(3x+1)

= 36/x

- Math For College Readiness -
**Neil**, Wednesday, January 9, 2013 at 4:51pm
Thank you very much, Steve :)

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