poziom A

a)

$\frac{2}{7}:\frac{5}{9}=\frac{2}{7}\cdot \frac{9}{5}=\frac{18}{35}$

b)

$\frac{3}{5}:\frac{7}{11}=\frac{3}{5}\cdot \frac{11}{7}=\frac{33}{35}$

c)

$\frac{1}{11}:\frac{7}{10}=\frac{1}{11}\cdot \frac{10}{7}=\frac{10}{77}$

d)

$\frac{5}{7}:\frac{3}{8}=\frac{5}{7}\cdot \frac{8}{3}=\frac{40}{21}=1\frac{19}{21}$

e)

$\frac{1}{9}:\frac{4}{5}=\frac{1}{9}\cdot \frac{5}{4}=\frac{5}{36}$

f)

$\frac{4}{7}:\frac{5}{9}=\frac{4}{7}\cdot \frac{9}{5}=\frac{36}{35}=1\frac{1}{35}$

g)

$\frac{4}{9}:\frac{5}{7}=\frac{4}{9}\cdot \frac{7}{5}=\frac{28}{45}$

 

h)

$\frac{4}{7}:\frac{3}{11}=\frac{4}{7}\cdot \frac{11}{3}=\frac{44}{21}=2\frac{2}{21}$

poziom B

a) 

$\frac{1}{9}:\frac{5}{6}=\frac{1}{{\sout{9}}^3}\cdot \frac{{\sout{6}}^2}{5}=\frac{1}{3}\cdot \frac{2}{5}=\frac{2}{15}$

b)

$\frac{4}{25}:\frac{2}{15}=\frac{{\sout{4}}^2}{{\sout{25}}^5}\cdot \frac{{\sout{15}}^3}{{\sout{2}}^1}=\frac{2}{5}\cdot \frac{3}{1}=\frac{6}{5}=1\frac{1}{5}$

c)

$\frac{4}{9}:\frac{6}{7}=\frac{{\sout{4}}^2}{9}\cdot \frac{7}{{\sout{6}}^3}=\frac{14}{27}$

d)

$\frac{4}{7}:\frac{2}{21}=\frac{{\sout{4}}^2}{{\sout{7}}^1}\cdot \frac{{\sout{21}}^3}{{\sout{2}}^1}=\frac{2}{1}\cdot \frac{3}{1}=6$

e)

$\frac{2}{7}:\frac{4}{9}=\frac{{\sout{2}}^1}{7}\cdot \frac{9}{{\sout{4}}^2}=\frac{1}{7}\cdot \frac{9}{2}=\frac{9}{14}$

f)

$\frac{2}{5}:\frac{6}{15}=\frac{{\sout{2}}^1}{{\sout{5}}^1}\cdot \frac{{\sout{15}}^3}{{\sout{6}}^3}=\frac{1}{1}\cdot \frac{3}{3}=1$

g)

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

h)

$\frac{4}{7}:\frac{2}{3}=\frac{{\sout{4}}^2}{7}\cdot \frac{3}{{\sout{2}}^1}=\frac{2}{7}\cdot \frac{3}{1}=\frac{6}{7}$

 

poziom C

a) 

$1\frac{2}{3}:2\frac{1}{6}=\frac{5}{3}:\frac{13}{6}=\frac{5}{{\sout{3}}^1}\cdot \frac{{\sout{6}}^2}{13}=\frac{5}{1}\cdot \frac{2}{13}=\frac{10}{13}$

b)

$1\frac{3}{5}:7\frac{1}{5}=\frac{8}{5}:\frac{36}{5}=\frac{{\sout{8}}^2}{{\sout{5}}^1}\cdot \frac{{\sout{5}}^1}{{\sout{36}}^9}=\frac{2}{1}\cdot \frac{1}{9}=\frac{2}{9}$

c)

$2\frac{4}{7}:2\frac{1}{4}=\frac{18}{7}:\frac{9}{4}=\frac{{\sout{18}}^2}{7}\cdot \frac{4}{{\sout{9}}^1}=\frac{2}{7}\cdot \frac{4}{1}=\frac{8}{7}=1\frac{1}{7}$

d)

$1\frac{3}{10}:1\frac{1}{12}=\frac{13}{10}:\frac{13}{12}=\frac{{\sout{13}}^1}{{\sout{10}}^5}\cdot \frac{{\sout{12}}^6}{{\sout{13}}^1}=\frac{1}{5}\cdot \frac{6}{1}=\frac{6}{5}=1\frac{1}{5}$

e)

$6\frac{2}{3}:2\frac{1}{2}=\frac{20}{3}:\frac{5}{2}=\frac{{\sout{20}}^4}{3}\cdot \frac{2}{{\sout{5}}^1}=\frac{4}{3}\cdot \frac{2}{1}=\frac{8}{3}=2\frac{2}{3}$

f)

$2\frac{2}{5}:1\frac{3}{5}=\frac{12}{5}:\frac{8}{5}=\frac{{\sout{12}}^3}{{\sout{5}}^1}\cdot \frac{{\sout{5}}^1}{{\sout{8}}^2}=\frac{3}{1}\cdot \frac{1}{2}=\frac{3}{2}=1\frac{1}{2}$

g)

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

h)

$4\frac{2}{5}:2\frac{3}{4}=\frac{22}{5}:\frac{11}{4}=\frac{{\sout{22}}^2}{5}\cdot \frac{4}{{\sout{11}}^1}=\frac{2}{5}\cdot \frac{4}{1}=\frac{8}{5}=1\frac{3}{5}$

 

MISTRZ

a)

$\frac{13}{25}:\frac{39}{425}=\frac{{\sout{13}}^1}{{\sout{25}}^1}\cdot \frac{{\sout{425}}^{17}}{{\sout{39}}^3}=\frac{1}{1}\cdot \frac{17}{3}=5\frac{2}{3}$

b)

$9\frac{4}{5}:6\frac{8}{15}=\frac{49}{5}:\frac{98}{15}=\frac{{\sout{49}}^1}{{\sout{5}}^1}\cdot \frac{{\sout{15}}^3}{{\sout{98}}^2}=\frac{1}{1}\cdot \frac{3}{2}=\frac{3}{2}=1\frac{1}{2}$

c)

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

d)

$14\frac{3}{10}:28\frac{6}{10}=\frac{143}{10}:\frac{286}{10}=\frac{{\sout{143}}^1}{{\sout{10}}^1}\cdot \frac{{\sout{10}}^1}{{\sout{286}}^2}=\frac{1}{1}\cdot \frac{1}{2}=\frac{1}{2}$