poziom A

$a)\frac{2}{7}\cdot \frac{4}{9}=\frac{8}{63}$

$b)\frac{3}{5}\cdot \frac{4}{11}=\frac{12}{55}$

$c)\frac{7}{11}\cdot \frac{7}{10}=\frac{49}{110}$

$d)\frac{5}{7}\cdot \frac{3}{8}=\frac{15}{56}$

$e)\frac{1}{9}\cdot \frac{4}{5}=\frac{4}{45}$

$f)\frac{4}{7}\cdot \frac{4}{9}=\frac{16}{63}$

$g)\frac{4}{9}\cdot \frac{1}{3}=\frac{4}{27}$

$h)\frac{4}{7}\cdot \frac{8}{11}=\frac{32}{77}$

 

poziom B

$a)\frac{1}{{\sout{9}}^3}\cdot \frac{{\sout{3}}^1}{5}=\frac{1}{3}\cdot \frac{1}{5}=\frac{1}{15}$

$b)\frac{4}{{\sout{7}}^1}\cdot \frac{{\sout{14}}^2}{15}=\frac{4}{1}\cdot \frac{2}{15}=\frac{8}{15}$

$c)\frac{{\sout{4}}^1}{9}\cdot \frac{1}{{\sout{8}}^2}=\frac{1}{9}\cdot \frac{1}{2}=\frac{1}{18}$

$d)\frac{{\sout{4}}^1}{7}\cdot \frac{5}{{\sout{12}}^3}=\frac{1}{7}\cdot \frac{5}{3}=\frac{5}{21}$

$e)\frac{{\sout{2}}^1}{7}\cdot \frac{3}{{\sout{4}}^2}=\frac{1}{7}\cdot \frac{3}{2}=\frac{3}{14}$

$f)\frac{2}{{\sout{5}}^1}\cdot \frac{{\sout{10}}^2}{11}=\frac{2}{1}\cdot \frac{2}{11}=\frac{4}{11}$

$g)\frac{3}{{\sout{7}}^1}\cdot \frac{{\sout{7}}^1}{10}=\frac{3}{1}\cdot \frac{1}{10}=\frac{3}{10}$

$h)\frac{{\sout{4}}^1}{7}\cdot \frac{3}{{\sout{8}}^2}=\frac{1}{7}\cdot \frac{3}{2}=\frac{3}{14}$

 

poziom C

a)

$\frac{{\sout{3}}^1}{{\sout{7}}^1}\cdot \frac{{\sout{14}}^2}{{\sout{27}}^9}=\frac{1}{1}\cdot \frac{2}{9}=\frac{2}{9}$

b)

$\frac{{\sout{3}}^1}{{\sout{5}}^1}\cdot \frac{{\sout{15}}^5}{{\sout{24}}^8}=\frac{1}{1}\cdot \frac{3}{8}=\frac{3}{8}$

c)

$\frac{{\sout{7}}^1}{{\sout{12}}^4}\cdot \frac{{\sout{3}}^1}{{\sout{7}}^1}=\frac{1}{4}\cdot \frac{1}{1}=\frac{1}{4}$

d)

$\frac{{\sout{5}}^1}{{\sout{27}}^9}\cdot \frac{{\sout{6}}^2}{{\sout{35}}^7}=\frac{1}{9}\cdot \frac{2}{7}=\frac{2}{63}$

e)

$\frac{{\sout{3}}^1}{{\sout{8}}^2}\cdot \frac{{\sout{4}}^1}{{\sout{9}}^3}=\frac{1}{2}\cdot \frac{1}{3}=\frac{1}{6}$

f)

$\frac{{\sout{5}}^1}{{\sout{16}}^4}\cdot \frac{{\sout{4}}^1}{{\sout{15}}^3}=\frac{1}{4}\cdot \frac{1}{3}=\frac{1}{12}$

g)

$\frac{{\sout{4}}^1}{{\sout{9}}^3}\cdot \frac{{\sout{3}}^1}{{\sout{20}}^5}=\frac{1}{3}\cdot \frac{1}{5}=\frac{1}{15}$

h)

$\frac{{\sout{33}}^3}{{\sout{70}}^7}\cdot \frac{{\sout{10}}^1}{{\sout{11}}^1}=\frac{3}{7}\cdot \frac{1}{1}=\frac{3}{7}$

 

poziom D

a) 

$1\frac{2}{3}\cdot 2\frac{1}{4}=\frac{5}{{\sout{3}}^1}\cdot \frac{{\sout{9}}^3}{4}=\frac{5}{1}\cdot \frac{3}{4}=\frac{15}{4}=3\frac{3}{4}$

b)

$1\frac{3}{5}\cdot 7\frac{1}{2}=\frac{{\sout{8}}^4}{{\sout{5}}^1}\cdot \frac{{\sout{15}}^3}{{\sout{2}}^1}=\frac{4}{1}\cdot \frac{3}{1}=12$

c)

$2\frac{4}{5}\cdot 1\frac{1}{7}=\frac{{\sout{14}}^2}{5}\cdot \frac{8}{{\sout{7}}^1}=\frac{2}{5}\cdot \frac{8}{1}=\frac{16}{5}=3\frac{1}{5}$

d)

$1\frac{1}{10}\cdot 1\frac{3}{22}=\frac{{\sout{11}}^1}{{\sout{10}}^2}\cdot \frac{{\sout{25}}^5}{{\sout{22}}^2}=\frac{1}{2}\cdot \frac{5}{2}=\frac{5}{4}=1\frac{1}{4}$

e)

$6\frac{2}{3}\cdot 2\frac{7}{10}=\frac{{\sout{20}}^2}{{\sout{3}}^1}\cdot \frac{{\sout{27}}^9}{{\sout{10}}^1}=\frac{2}{1}\cdot \frac{9}{1}=18$

f)

$2\frac{3}{5}\cdot 1\frac{9}{26}=\frac{{\sout{13}}^1}{{\sout{5}}^1}\cdot \frac{{\sout{35}}^7}{{\sout{26}}^2}=\frac{1}{1}\cdot \frac{7}{2}=\frac{7}{2}=3\frac{1}{2}$

g)

$1\frac{7}{8}\cdot 3\frac{1}{5}=\frac{{\sout{15}}^3}{{\sout{8}}^1}\cdot \frac{{\sout{16}}^2}{{\sout{5}}^1}=\frac{3}{1}\cdot \frac{2}{1}=6$

h)

$2\frac{2}{5}\cdot 2\frac{3}{4}=\frac{{\sout{12}}^3}{5}\cdot \frac{11}{{\sout{4}}^1}=\frac{3}{5}\cdot \frac{11}{1}=\frac{33}{5}=6\frac{3}{5}$

 

MISTRZ

a)

$\frac{{\sout{13}}^1}{{\sout{17}}^1}\cdot \frac{{\sout{34}}^2}{{\sout{39}}^3}=\frac{1}{1}\cdot \frac{2}{3}=\frac{2}{3}$

b)

$9\frac{4}{5}\cdot \frac{15}{98}=\frac{{\sout{49}}^1}{{\sout{5}}^1}\cdot \frac{{\sout{15}}^3}{{\sout{98}}^2}=\frac{1}{1}\cdot \frac{3}{2}=\frac{3}{2}=1\frac{1}{2}$

c)

$26\frac{1}{5}\cdot \frac{15}{262}=\frac{{\sout{131}}^1}{{\sout{5}}^1}\cdot \frac{{\sout{15}}^3}{{\sout{262}}^2}=\frac{1}{1}\cdot \frac{3}{2}=\frac{3}{2}=1\frac{1}{2}$

d)

$11\frac{7}{10}\cdot \frac{1}{39}=\frac{{\sout{117}}^3}{10}\cdot \frac{1}{{\sout{39}}^1}=\frac{3}{10}\cdot \frac{1}{1}=\frac{3}{10}$