Algebraic Fractions - Ambitious

Question 1: Simplify:

\frac{3 x}{2 y^{3}} \cdot \frac{6 x y}{9 x^{2}}

A

\frac{3}{y^{3}}

B

\frac{3}{y^{2}}

C

\frac{1}{y^{2}}

D

\frac{x}{y^{2}}

Question 2: Simplify:

\frac{a^{2}}{b^{2}} \cdot \frac{2 a b}{3 a}

A

\frac{2 a^{2}}{3 b}

B

0

C

\frac{2 a^{2}}{3 b^{2}}

D

\frac{2}{3 b}

Question 3: Simplify:

\frac{4 x^{2} y^{2}}{3 z^{2}} \cdot \frac{5 y^{2} z}{2 x z} \cdot \frac{2 x}{y^{2} z}

A

\frac{20 x y^{2}}{3 z^{2}}

B

\frac{8 x^{2} y^{2}}{3 z^{2}}

C

\frac{20 x^{2} y^{2}}{3 z^{3}}

D

\frac{8 z^{3} y^{2}}{3 x}

Question 4: Simplify:

\frac{x y^{2}}{z} \div \frac{x^{2} y}{2 z}

A

2 \frac{y}{x}

B

2x

C

2 \frac{x}{y}

D

2y

Question 5: Simplify:

\frac{3 p^{2} q}{4 r s^{2}} \div \frac{9 p r^{2}}{12 q^{2} s}

A

\frac{p q^{3}}{s r^{3}}

B

\frac{2 q^{3}}{3 p r^{2}}

C

\frac{3 q}{s r}

D

\frac{q^{3}}{r^{2}}

Question 6: Simplify:

\frac{3 x}{2} + \frac{2 x}{3} + \frac{5 x}{4}

A

2 \frac{17}{18} x

B

3 \frac{5}{12} x

C

2 \frac{1}{4} x

D

2 \frac{13}{18} x

Question 7: Simplify:

\frac{1}{x} + \frac{2}{3 x} + \frac{3}{7 x}

A

2 \frac{1}{7 x}

B

2 \frac{2}{21 x}

C

2 \frac{1}{7} x

D

2 \frac{2}{21} x

Question 8: Simplify:

3 x + \frac{2 x + y}{3} - \frac{x - 3 y}{5}

A

1 \frac{1}{3} x - \frac{2}{5} y

B

6 x - \frac{2}{5} y

C

2 \frac{5}{8} x - \frac{2}{3} y

D

3 \frac{7}{15} x + \frac{14}{15} y

Question 9: Simplify:

\frac{5 x}{6 y} - \frac{3 y}{2 x}

A

\frac{5 x^{2} - 9 y^{2}}{6 x y}

B

\frac{7 x^{2} - 3 y^{2}}{2 x y}

C

\frac{7 x^{2} + 3 y^{2}}{5 x y}

D

\frac{5 (x - y) (x + y)}{6 x y}

Question 10: Simplify:

\frac{p - 3}{3 q} - \frac{3 p + 2}{2 q} + \frac{4 p - 1}{5 q}

A

\frac{13 p + 17}{30 q}

B

\frac{7 p - 1}{30 q}

C

\frac{- p - 2}{q}

D

\frac{- 11 p - 66}{30 q}

Test: Algebraic Fractions - Ambitious

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