MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Simplify the complex rational expression.

1) ( (1/7) /(1/6))

A) (3/19)

B) (1/42)

C) (7/6)

D) (6/7)

2) ((10/28)/(8/35))

A) (25/8)

B) (175/112)

C) (25/28)

D) (25/16)

3) ((x/8)/(x/5))

A) (5/8)

B) (x /40)

C) (8/5)

D) (5/8x)

4) ((5/x)/(4/x))

A) (5/4)

B) (5/4x)

C) (20 /x)

D) 20x

5) ( (8/3x) / (9/4x) )

A) (32/27x^{2})

B) (32/27)

C) (32x/27)

D) (32/27x)

6) ((10/y)/(35/y^{2}))

A) (2y/7)

B) (2/7y^{3})

C) (7y/2)

D) (2/7y)

7) ((7/x^{2})/(28/x^{5}))

A) (1/4x^{3})

B) 4x^{3}

C) (x^{3}/4)

D) (x^{7}/4)

8) ( (4m^{7}/9) / (5m^{2}/2) )

A) (45/8m^{5})

B) (45m^{5}/8)

C) (8/45m^{5})

D) (8m^{5}/45)

9) ((27/4x)/(3/8x^{5}))

A) (x^{4}/18)

B) (18/x^{4})

C) 18x^{4}

D) (18/x^{6})

10) ((2/y + 4)/(8/y^{2} – 16))

A) (y + 4/4)

B) (1/4(y – 4))

C) (y – 4/4)

D) 4(y + 4)

11) ((2p – 4/4)/(4p – 8/2))

A) p^{2} – 4p + 4

B) 4

C) (8p^{2} – 32p + 32/8)

D) (1/4)

12) ((x2 – 4x + 3/20x)/(x – 1/15))

A) (3(x – 3)/4x)

B) (4x(x – 3)/3)

C) ((x – 3)(x – 1)^{2}/300x)

D) (3/4x(x – 3))

13) ((2y^{2} – 8/y + 5)/(6y – 12/y^{2} – 25))

A) – ((y + 2)(y – 5)/3)

B) ((y + 2)(y – 5)/3)

C) ((y – 2)(y + 5)/3)

D) (y^{2} – 10/3)

14) ((1/2) – (1/8)/(1/5) + (1/4))

A) (27/160)

B) (6/5)

C) (5/6)

D) (160/27)

15) ((1/9) – (1/7)/(1/6) + (1/7))

A) – (13/1323)

B) – (1323/13)

C) – (39/4)

D) – (4/39)

16) ((8/x) – (7/x)/(8/x) + ( 7/x))

A) (1/15)

B) (x/15)

C) (1/15x)

D) (15/x)

17) ((1/9x) – (1/5x)/(1/6x) + (1/4x))

A) – (75/16)

B) – (1/27)

C) – (16/75)

D) – 27

18) ((5/x) + (1/3x)/(4/x) – (2/9x))

A) (48/17)

B) (36/17)

C) (24/17)

D) (72/17)

19) ((4/3t) – (1/4t)/(5/4t) + (2/3t))

A) (13/23t)

B) (3/7)

C) (3/7t)

D) (13/23)

20) ( (2/w) – (9/w^{2}) / (2/w) + (7/w^{2}) )

A) (2 – 9w/2 + 7w)

B) ((2w – 9)(2w + 7)/w^{2})

C) (2w^{2} – 9/2w^{2} + 7)

D) (2w – 9/2w + 7)

21) ( 6 – (7/a) / 2 + (7/a) )

A) ((6a – 7)(2a + 7)/a)

B) ((6 – 7a)(2 + 7a)/a)

C) (6 – 7a/2 + 7a)

D) (6a – 7/2a + 7)

22) ( (7/11) – (8/11x) /(5/22x) )

A) (7x – 8/10)

B) (7x – 8/5)

C) (2(7x – 8)/5)

D) (2(7x – 8)/5x)

23) ((r/3) – (3/r)/(r/8) – (8/r))

A) (8(r – 3)(r + 3)/3(r – 8)(r + 8))

B) (3(r + 3)/8(r + 8))

C) (8(r – 3)/3(r – 8))

D) (8(r – 8)(r + 8)/3(r – 3)(r + 3))

24) ((1/x) – (64/x^{3})/(1/x) – (8/x^{2}))

A) x(x + 8)

B) (x + 8/x)

C) (x + 8/x^{2})

D) (x – 8/x)

25) (1 – (4/x^{2})/2 – (4/x))

A) (x + 2/2x)

B) (x + 2/2)

C) (x(x – 2)/2)

D) (x – 2/2x)

26) ( (6/x) + (7/x^{2}) / (3/x^{3}) – (6/x) )

A) (6x + 7/3 – 6x)

B) (x(6x + 7)/3 – 6x^{2})

C) (6x + 7/3 – 6x^{2})

D) (x(6x + 7)/3 + 6x^{2})

27) ((3/x) + 10/(9/x^{2}) – 100)

A) (1/3 – 10x)

B) (x/3 – 10x)

C) (x/3x – 10)

D) (x/x(3 – 10x))

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