# Activities 4

### 4.1)

Simplify the fractions if possible:

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

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

### 4.2)

Simplify the fractions if possible:

a)
$\frac{2{x}^{2}y}{x}$
b)
$\frac{3x{y}^{2}}{xy}$
c)
$\frac{6{x}^{3}y}{2x}$
d)
$\frac{4a{b}^{3}}{2ac}$
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)
$\frac{3x{y}^{2}}{xy}$
c)
$\frac{6{x}^{3}y}{2x}$
d)
$\frac{4a{b}^{3}}{2ac}$
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)
$\frac{12a}{5a}$
b)
$\frac{{a}^{2}bc}{4a}$
c)
$\frac{{a}^{2}bc}{bc}$
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)
$\frac{20{a}^{4}}{4a\cdot 2a}$
i)
$\frac{7k\cdot 5k}{8f\cdot 4{b}^{2}}$
j)
$\frac{abcdef}{hgdcba}$

a)
$\frac{12a}{5a}$
b)
$\frac{{a}^{2}bc}{4a}$
c)
$\frac{{a}^{2}bc}{bc}$
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)
$\frac{20{a}^{4}}{4a\cdot 2a}$
i)
$\frac{7k\cdot 5k}{8f\cdot 4{b}^{2}}$
j)
$\frac{abcdef}{hgdcba}$

### 4.4)

Simplify the fractions as much as possible:

a)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{a}{b}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{a}{b}\phantom{\rule{0.17em}{0ex}}}$
b)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{a}{b}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{b}{a}\phantom{\rule{0.17em}{0ex}}}$
c)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{2a}{b}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{b}{2a}\phantom{\rule{0.17em}{0ex}}}$
d)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{3x}{y}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4y}{x}\phantom{\rule{0.17em}{0ex}}}$
e)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{xy}{y}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4y}{x}\phantom{\rule{0.17em}{0ex}}}$
f)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}a\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{a}{b}\phantom{\rule{0.17em}{0ex}}}$
g)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}2b\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{5a}{b}\phantom{\rule{0.17em}{0ex}}}$
h)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{3x}{y}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}y\phantom{\rule{0.17em}{0ex}}}$
i)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{4y}{3x}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}y\phantom{\rule{0.17em}{0ex}}}$

You can find the solutions here.