Rational Expressions and Equations

Multiplying and Dividing

100

(x+3)/4*(3x-18)/(3x+9)

(x-6)/4 

xne-3

200

(x-8)/(x^2-2x-48)*(4x^2+40x)/(x+10)

(4x)/(x+6)

xne8, -6, -10

300

(2y^2-12y)/(y+5)div(y-6)/(y+5)

2y

y ne -5, 6

400

1/(n+9)div(6-n)/(3n-18)

-3/(n+9)

n ne-9, 6

Adding and Subtracting

100

(8k+9)/18-(2k+1)/18

(3k+4)/9

No  Restrictions

200

(3y^2-19y)/(y^2-25)+(y^2-y)/(y^2-25)

(4y)/(y+5)

y ne 5, -5 

300

6/(x-1)-(5x)/4

(-5x^2+5x+24)/(4(x-1))

x ne 1

400

3/(4x^2+4x)-7/2

(14x^2-14x+3)/(4x(x+1))

x ne -1

Solving equations

100

(2x-1)/(x+3)=5/3

18

200

-(4)/(x+1)=5/(3x+1)

-9/17

300

1/(2x+2)+5/(x^2-1)=1/(x-1)

7

400

2/(x+3)+5/(3-x)=6/(x^2-9)

-9

Complex fractions

100

(x/6-x/3)/(x/5-7/10)

-(5x)/(3(2x-7))

x ne 7/2

200

(2/x-4)/(2/x+3)

(2-4x)/(2+3x)

x ne 0, -2/3

300

(x/3-6)/(10+4/x)

(x(x-18))/(6(5x+2)

x ne 0, -2/5

400

(3/(x+5))/((2/(x-3)+1/(x+5))

(3x+9)/(3x+7)

x ne -5, 3, -7/3