[tex]a)\ \ \dfrac{3}{5}\cdot\dfrac{2}{7}=\dfrac{3\cdot2}{5\cdot7}=\dfrac{6}{35}\\\\\\b)\ \ \dfrac{\not4^1}{5}\cdot\dfrac{3}{\not8_{2}}=\dfrac{1\cdot3}{5\cdot2}=\dfrac{3}{10}\\\\\\c)\ \ \dfrac{\not3^1}{\not4_{1}}\cdot\dfrac{\not8^2}{\not9_{3}}=\dfrac{1\cdot2}{1\cdot3}=\dfrac{2}{3}\\\\\\d)\ \ \dfrac{\not7^1}{\not15_{3}}\cdot\dfrac{\not10^2}{\not21_{3}}=\dfrac{1\cdot2}{3\cdot3}=\dfrac{2}{9}[/tex]
[tex]e)\ \ 2\dfrac{3}{4}\cdot\dfrac{1}{2}=\dfrac{11}{4}\cdot\dfrac{1}{2}=\dfrac{11\cdot1}{4\cdot2}=\dfrac{11}{8}=1\dfrac{3}{8}\\\\\\f)\ \ \dfrac{5}{9}\cdot4\dfrac{1}{10}=\dfrac{\not5^1}{9}\cdot\dfrac{41}{\not10_{2}}=\dfrac{1\cdot41}{9\cdot2}=\dfrac{41}{18}=2\dfrac{5}{18}\\\\\\g)\ \ 2\dfrac{1}{2}\cdot5\dfrac{1}{3}=\dfrac{5}{\not2_{1}}\cdot\dfrac{\not16^8}{3}=\dfrac{5\cdot8}{1\cdot3}=\dfrac{40}{3}=13\dfrac{1}{3}[/tex]
[tex]h)\ \ 3\dfrac{3}{4}\cdot4\dfrac{1}{5}=\dfrac{\not15^3}{4}\cdot\dfrac{21}{\not5_{1}}=\dfrac{3\cdot21}{4\cdot1}=\dfrac{63}{4}=15\dfrac{3}{4}\\\\\\i)\ \ 5\dfrac{6}{7}\cdot4\dfrac{2}{3}=\dfrac{41}{\not7_{1}}\cdot\dfrac{\not14^2}{3}=\dfrac{41\cdot2}{1\cdot3}=\dfrac{82}{3}=27\dfrac{1}{3}[/tex]
[tex]j)\ \ \dfrac{4}{5}\cdot\dfrac{2}{9}\cdot\dfrac{\not6^3}{\not7_{1}}\cdot\dfrac{\not7^1}{\not8_{4}}=\dfrac{\not8^2}{\not45_{15}}\cdot\dfrac{\not3^1}{\not4_{1}}=\dfrac{2\cdot1}{15\cdot1}=\dfrac{2}{15}\\\\\\k)\ \ \dfrac{4}{7}\cdot1\dfrac{3}{4}\cdot3\dfrac{1}{2}=\dfrac{\not4^1}{\not7_{1}}\cdot\dfrac{\not7^1}{\not4_{1}}\cdot\dfrac{7}{2}=\dfrac{7}{2}=3\dfrac{1}{2}[/tex]
[tex]l)\ \ 1\dfrac{5}{8}\cdot3\dfrac{1}{5}\cdot\dfrac{2}{26}=\dfrac{13}{\not8_{1}}\cdot\dfrac{\not16^2}{5}\cdot\dfrac{2}{26}=\dfrac{\not26^1}{5}\cdot\dfrac{2}{\not26_{1}}=\dfrac{1\cdot2}{5\cdot1}=\dfrac{2}{5}[/tex]
Jeżeli mnożymy ułamek przez ułamek to mnożymy licznik przez licznik i mianownik przez mianownik.
Liczby mieszane przed wykonaniem mnożenia zamieniamy na ułamki.
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[tex]a)\ \ \dfrac{3}{5}\cdot\dfrac{2}{7}=\dfrac{3\cdot2}{5\cdot7}=\dfrac{6}{35}\\\\\\b)\ \ \dfrac{\not4^1}{5}\cdot\dfrac{3}{\not8_{2}}=\dfrac{1\cdot3}{5\cdot2}=\dfrac{3}{10}\\\\\\c)\ \ \dfrac{\not3^1}{\not4_{1}}\cdot\dfrac{\not8^2}{\not9_{3}}=\dfrac{1\cdot2}{1\cdot3}=\dfrac{2}{3}\\\\\\d)\ \ \dfrac{\not7^1}{\not15_{3}}\cdot\dfrac{\not10^2}{\not21_{3}}=\dfrac{1\cdot2}{3\cdot3}=\dfrac{2}{9}[/tex]
[tex]e)\ \ 2\dfrac{3}{4}\cdot\dfrac{1}{2}=\dfrac{11}{4}\cdot\dfrac{1}{2}=\dfrac{11\cdot1}{4\cdot2}=\dfrac{11}{8}=1\dfrac{3}{8}\\\\\\f)\ \ \dfrac{5}{9}\cdot4\dfrac{1}{10}=\dfrac{\not5^1}{9}\cdot\dfrac{41}{\not10_{2}}=\dfrac{1\cdot41}{9\cdot2}=\dfrac{41}{18}=2\dfrac{5}{18}\\\\\\g)\ \ 2\dfrac{1}{2}\cdot5\dfrac{1}{3}=\dfrac{5}{\not2_{1}}\cdot\dfrac{\not16^8}{3}=\dfrac{5\cdot8}{1\cdot3}=\dfrac{40}{3}=13\dfrac{1}{3}[/tex]
[tex]h)\ \ 3\dfrac{3}{4}\cdot4\dfrac{1}{5}=\dfrac{\not15^3}{4}\cdot\dfrac{21}{\not5_{1}}=\dfrac{3\cdot21}{4\cdot1}=\dfrac{63}{4}=15\dfrac{3}{4}\\\\\\i)\ \ 5\dfrac{6}{7}\cdot4\dfrac{2}{3}=\dfrac{41}{\not7_{1}}\cdot\dfrac{\not14^2}{3}=\dfrac{41\cdot2}{1\cdot3}=\dfrac{82}{3}=27\dfrac{1}{3}[/tex]
[tex]j)\ \ \dfrac{4}{5}\cdot\dfrac{2}{9}\cdot\dfrac{\not6^3}{\not7_{1}}\cdot\dfrac{\not7^1}{\not8_{4}}=\dfrac{\not8^2}{\not45_{15}}\cdot\dfrac{\not3^1}{\not4_{1}}=\dfrac{2\cdot1}{15\cdot1}=\dfrac{2}{15}\\\\\\k)\ \ \dfrac{4}{7}\cdot1\dfrac{3}{4}\cdot3\dfrac{1}{2}=\dfrac{\not4^1}{\not7_{1}}\cdot\dfrac{\not7^1}{\not4_{1}}\cdot\dfrac{7}{2}=\dfrac{7}{2}=3\dfrac{1}{2}[/tex]
[tex]l)\ \ 1\dfrac{5}{8}\cdot3\dfrac{1}{5}\cdot\dfrac{2}{26}=\dfrac{13}{\not8_{1}}\cdot\dfrac{\not16^2}{5}\cdot\dfrac{2}{26}=\dfrac{\not26^1}{5}\cdot\dfrac{2}{\not26_{1}}=\dfrac{1\cdot2}{5\cdot1}=\dfrac{2}{5}[/tex]
Jeżeli mnożymy ułamek przez ułamek to mnożymy licznik przez licznik i mianownik przez mianownik.
Liczby mieszane przed wykonaniem mnożenia zamieniamy na ułamki.