Proszę pomuścje 5/6 : 1/9 10/21 : 3 cale 3/14 2 cale 7/16 : 3/327 calych 1/2 : 1 cala 7/840 calych :.... Question from @hubrus3

November 2018 1 9 Report

Proszę pomuścje

5/6 : 1/9
10/21 : 3 cale 3/14
2 cale 7/16 : 3/32
7 calych 1/2 : 1 cala 7/8
40 calych : 2/5
16/25 : 8 calych
3 cale 5/7 : 3 cale 1/4
1 cala 1/2 : 2 cale :1/4

Alexsandrixonka $\frac{5}{6}:\frac{1}{9}=\frac{5}{\not6_{2}}*\not9_{3}=\frac{5*3}{2}=\frac{15}{2}=7\frac{1}{2}=7,5\\\\\frac{10}{21}:3\frac{3}{14}=\frac{10}{21}:\frac{45}{14}=\frac{\not10_{2}}{\not21_{3}}*\frac{\not14_{2}}{\not45_{9}}=\frac{2*2}{3*9}=\frac{4}{27}$

$2\frac{7}{16}:\frac{3}{32}=\frac{39}{16}:\frac{3}{32}=\frac{\not39_{13}}{\not16_{1}}*\frac{\not32_{2}}{\not3_{1}}=\frac{13*2}{1*1}=\frac{26}{1}=26\\\\7\frac{1}{2}:1\frac{7}{8}=\frac{15}{2}:\frac{15}{8}=\frac{\not15_{1}}{\not2_{1}}*\frac{\not8_{4}}{\not15_{1}}=\frac{1*4}{1*1}=\frac{4}{1}=4$

$40:\frac{2}{5}=\not40_{20}*\frac{5}{\not2_{1}}=\frac{20*5}{1}=\frac{100}{1}=100\\\\\frac{16}{25}:8=\frac{\not16_{2}}{25}*\frac{1}{\not8_{1}}=\frac{2*1}{25*1}=\frac{2}{25}$

$3\frac{5}{7}:3\frac{1}{4}=\frac{26}{7}:\frac{13}{4}=\frac{\not26_{2}}{7}*\frac{4}{\not13_{1}}=\frac{2*4}{7*1}=\frac{8}{7}=1\frac{1}{7}$

Ostatni przykład został zapisany niezrozumiale, dlatego zrobię dwie wersje tego przykładu:

$1\frac{1}{2}:2:\frac{1}{4}=\frac{3}{\not2_{1}}*\frac{1}{\not2_{1}}*\not4_{\not2_{1}}=\frac{3*1*1}{1*1}=\frac{3}{1}=3\\\\ lub\\\\1\frac{1}{2}:2\frac{1}{4}=\frac{3}{2}:\frac{9}{4}=\frac{\not3_{1}}{\not2_{1}}*\frac{\not4_{2}}{\not9_{3}}=\frac{1*2}{1*3}=\frac{2}{3}$

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