# Activities 6

### 6.1)

Compute and simplify these expressions as much as possible.

a)
$\frac{7}{9}÷\frac{4}{6}$
b)
$\frac{5}{2}÷\frac{6}{5}$
c)
$\frac{1}{3}÷\frac{8}{6}$
d)
$\frac{4}{10}÷\frac{2}{5}$
e)
$\frac{3}{100}÷\frac{5}{100}$
f)
$\frac{60}{20}÷\frac{3}{9}$
g)
$\frac{15}{24}÷\frac{3}{2}$
h)
$\frac{1}{9}÷\frac{4}{6}$

a)
$\frac{7}{9}÷\frac{4}{6}$
b)
$\frac{5}{2}÷\frac{6}{5}$
c)
$\frac{1}{3}÷\frac{8}{6}$
d)
$\frac{4}{10}÷\frac{2}{5}$
e)
$\frac{3}{100}÷\frac{5}{100}$
f)
$\frac{60}{20}÷\frac{3}{9}$
g)
$\frac{15}{24}÷\frac{3}{2}$
h)
$\frac{1}{9}÷\frac{4}{6}$

### 6.2)

Compute and simplify these expressions as much as possible.

a)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{1}{2}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{2}{3}\phantom{\rule{0.17em}{0ex}}}$
b)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{3}{2}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{1}{4}\phantom{\rule{0.17em}{0ex}}}$
c)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{4}{5}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4}{3}\phantom{\rule{0.17em}{0ex}}}$
d)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{6}{7}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{1}{5}\phantom{\rule{0.17em}{0ex}}}$
e)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{11}{5}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{3}{4}\phantom{\rule{0.17em}{0ex}}}$
f)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{4}{3}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{6}{5}\phantom{\rule{0.17em}{0ex}}}$
g)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{6}{7}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{8}{3}\phantom{\rule{0.17em}{0ex}}}$
h)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{13}{16}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4}{5}\phantom{\rule{0.17em}{0ex}}}$
i)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{11}{2}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{5}{10}\phantom{\rule{0.17em}{0ex}}}$
j)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{9}{3}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4}{8}\phantom{\rule{0.17em}{0ex}}}$

a)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{1}{2}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{2}{3}\phantom{\rule{0.17em}{0ex}}}$
b)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{3}{2}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{1}{4}\phantom{\rule{0.17em}{0ex}}}$
c)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{4}{5}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4}{3}\phantom{\rule{0.17em}{0ex}}}$
d)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{6}{7}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{1}{5}\phantom{\rule{0.17em}{0ex}}}$
e)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{11}{5}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{3}{4}\phantom{\rule{0.17em}{0ex}}}$
f)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{4}{3}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{6}{5}\phantom{\rule{0.17em}{0ex}}}$
g)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{6}{7}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{8}{3}\phantom{\rule{0.17em}{0ex}}}$
h)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{13}{16}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4}{5}\phantom{\rule{0.17em}{0ex}}}$
i)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{11}{2}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{5}{10}\phantom{\rule{0.17em}{0ex}}}$
j)
$\genfrac{}{}{1.0pt}{}{\phantom{\rule{0.17em}{0ex}}\frac{9}{3}\phantom{\rule{0.17em}{0ex}}}{\phantom{\rule{0.17em}{0ex}}\frac{4}{8}\phantom{\rule{0.17em}{0ex}}}$

You can find the solutions here.

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