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Activities 4

4.1)

Simplify the fractions if possible:

a): $\frac{x}{x}$
b): $\frac{x^{2}}{x}$
c): $\frac{3 y \cdot x}{x y}$
d): $\frac{x^{3} \cdot 1}{x^{3}}$
e): $\frac{15 b}{5 a}$
f): $\frac{3 d \cdot 6 a}{9 d}$
g): $\frac{100 b g \cdot 2 g}{40 g b^{2}}$
h): $\frac{f^{3}}{4 f^{2}}$
i): $\frac{9 \cdot 8 k}{3 \cdot 5 \cdot 2 k}$
j): $\frac{2 y \cdot 18 y}{3 y^{2} \cdot 5}$

a): $\frac{x}{x}$
b): $\frac{x^{2}}{x}$
c): $\frac{3 y \cdot x}{x y}$
d): $\frac{x^{3} \cdot 1}{x^{3}}$
e): $\frac{15 b}{5 a}$
f): $\frac{3 d \cdot 6 a}{9 d}$
g): $\frac{100 b g \cdot 2 g}{40 g b^{2}}$
h): $\frac{f^{3}}{4 f^{2}}$
i): $\frac{9 \cdot 8 k}{3 \cdot 5 \cdot 2 k}$
j): $\frac{2 y \cdot 18 y}{3 y^{2} \cdot 5}$

4.2)

Simplify the fractions if possible:

a): $\frac{2 x^{2} y}{x}$
b): $\frac{3 x y^{2}}{x y}$
c): $\frac{6 x^{3} y}{2 x}$
d): $\frac{4 a b^{3}}{2 a c}$
e): $\frac{21 x^{4} y^{3} z^{2}}{7 x^{5} y^{4} z^{3}}$
f): $\frac{x^{2} y^{2}}{10 x^{3} y^{4}}$

a): $\frac{2 x^{2} y}{x}$
b): $\frac{3 x y^{2}}{x y}$
c): $\frac{6 x^{3} y}{2 x}$
d): $\frac{4 a b^{3}}{2 a c}$
e): $\frac{21 x^{4} y^{3} z^{2}}{7 x^{5} y^{4} z^{3}}$
f): $\frac{x^{2} y^{2}}{10 x^{3} y^{4}}$

4.3)

Simplify the fractions if possible:

a): $\frac{12 a}{5 a}$
b): $\frac{a^{2} b c}{4 a}$
c): $\frac{a^{2} b c}{b c}$
d): $\frac{x^{5}}{x^{2}}$
e): $\frac{x^{2}}{x^{5}}$
f): $\frac{9 a^{9}}{3 a^{3}}$
g): $\frac{a^{5} b^{4} c^{3}}{a^{3} b^{4} c^{5}}$
h): $\frac{20 a^{4}}{4 a \cdot 2 a}$
i): $\frac{7 k \cdot 5 k}{8 f \cdot 4 b^{2}}$
j): $\frac{a b c d e f}{h g d c b a}$

a): $\frac{12 a}{5 a}$
b): $\frac{a^{2} b c}{4 a}$
c): $\frac{a^{2} b c}{b c}$
d): $\frac{x^{5}}{x^{2}}$
e): $\frac{x^{2}}{x^{5}}$
f): $\frac{9 a^{9}}{3 a^{3}}$
g): $\frac{a^{5} b^{4} c^{3}}{a^{3} b^{4} c^{5}}$
h): $\frac{20 a^{4}}{4 a \cdot 2 a}$
i): $\frac{7 k \cdot 5 k}{8 f \cdot 4 b^{2}}$
j): $\frac{a b c d e f}{h g d c b a}$

4.4)

Simplify the fractions as much as possible:

a): $\frac{\frac{a}{b}}{\frac{a}{b}}$
b): $\frac{\frac{a}{b}}{\frac{b}{a}}$
c): $\frac{\frac{2 a}{b}}{\frac{b}{2 a}}$
d): $\frac{\frac{3 x}{y}}{\frac{4 y}{x}}$
e): $\frac{\frac{x y}{y}}{\frac{4 y}{x}}$
f): $\frac{a}{\frac{a}{b}}$
g): $\frac{2 b}{\frac{5 a}{b}}$
h): $\frac{\frac{3 x}{y}}{y}$
i): $\frac{\frac{4 y}{3 x}}{y}$

You can find the solutions here.

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