Algebraic Fractions - Normal

Question 1: Simplify:

\frac{9 t^{3}}{27 t^{5}}

A

\frac{1}{3 t^{2}}

B

3 \frac{1}{t}

C

\frac{1}{6 t}

D

\frac{1}{18 t^{2}}

Question 2: Simplify

\frac{2 x}{3 y} \cdot \frac{3 y}{2 x}

A

\frac{2 x}{3 y}

B

\frac{3 y}{2 x}

C

\frac{2}{3}

D

1

Question 3: Write

\frac{a}{b} + \frac{b}{a}

as a single fraction

A

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

B

\frac{a + b}{b + a}

C

\frac{(a + b) (a - b)}{a b}

D

\frac{a + b}{a b}

Question 4: Simplify:

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

A

\frac{2 x}{3 y}

B

\frac{x}{y}

C

\frac{1}{x y}

D

\frac{y}{x}

Question 5: Simplify:

\frac{t^{2}}{s} : \frac{t}{s^{2}}

A

\frac{s}{t}

B

\frac{1}{t s}

C

t s

D

\frac{t}{s}

Question 6: Simplify:

\frac{p q}{r^{2} s} \cdot \frac{p^{2} r}{q s}

A

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

B

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

C

\frac{p^{2} r^{2}}{r^{2} s^{2}}

D

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

Question 7: Simplify:

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

A

\frac{1}{x}

B

\frac{6}{x}

C

\frac{9}{x}

D

\frac{6}{x^{3}}

Question 8: Simplify:

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

A

\frac{5 x}{9}

B

1 \frac{7}{12} x

C

\frac{x}{3}

D

1 \frac{1}{12} x

Question 9: Simplify:

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

A

\frac{3 x^{2} - 8}{x}

B

\frac{3 x^{2} + 8}{4 x}

C

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

D

\frac{x (3 x - 8)}{4}

Question 10: Simplify:

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

A

\frac{7 x - 3 y}{6}

B

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

C

\frac{7 x + y}{6}

D

\frac{5 x + 3 y}{6}

Test: Algebraic Fractions - Normal

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