Dwa zadanka z maty w załączniku (proszę o wszystkie obliczenia, które zrobicie):
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zadania w załączniku
9.
a) 2/3 * (2 5/6 + 1,75)= 2/3 * (17/6 + 1 3/4)= 2/3 * (17/6 + 7/4)= 2/3 * (34/12 + 21/12)= 2/3 * 55/12= 55/18 \approx 3
b) (4 \frac{7}{8} - 2,5) * 1 \frac{1}{3} = ( \frac{39}{8} - \frac{25}{10} ) * 1 \frac{1}{3} = ( \frac{390}{80} - \frac{200}{80} ) * 1 \frac{1}{3} = \frac{190}{80} * \frac{4}{3} = \frac{190}{60} \approx 3
c) 2 \frac{2}{3} : (1 \frac{7}{9} + 2 \frac{2}{15} ) = \frac{8}{3} : ( \frac{80}{45} + \frac{96}{45} ) = \frac{8}{3} " \frac{176}{45} = \frac{15}{22}
d) 1 \frac{4}{5} : (8 \frac{13}{25} - 1,5) = !\frac{4}{5} : \frac{213}{25} - \frac{15}{10}= \frac{9}{5} * \frac{50}{351} = \frac{10}{39}
e) 3\frac{1}{2} * (1\frac{3}{5} + 2,75) = 3\frac{1}{2} * (2,6 + 2,75)= 3,5 * 5,35= 18,725
f) 1\frac{2}{3} : (5,5 * 2\frac{2}{11} - 3\frac{2}{3})= 1\frac{2}{3} : (12-3\frac{2}{3})= \frac{5}{3} : 8\frac{1}{3} = \frac{1}{5}
10.
a) \frac{2}{3} * \frac{4}{5} + \frac{2}{3} * \frac{2}{5} = \frac{2}{3} * 0,6 = \frac{8}{15} + \frac{4}{15} + \frac{2}{3} * \frac{3}{5} = 1 \frac{3}{15} = 1 \frac{1}{5}
b)\frac{1}{2} - 0,5 * \frac{3}{7} - \frac{2}{7} * \frac{2}{4} = \frac{6}{14} - \frac{3}{14} - \frac{2}{14} = \frac{1}{14}
c) \frac{1}{4} * 2\frac{2}{3} - 1\frac{1}{6} * \frac{1}{4} + \frac{1}{2} * 0,25= \frac{1}{4} * \frac{8}{3} - \frac{7}{6} * \frac{1}{4} + \frac{1}{2} * \frac{1}{4} = \frac{8}{12} - \frac{7}{24} + \frac{1}{8} = \frac{16}{24} - \frac{7}{24} + \frac{3}{24} = \frac{9}{24} + \frac{3}{24} = \frac{12}{24} = |frac{1}{2}
d) 0,3 * 3\frac{3}{8} - 2,25 * \frac{3}{10} + \frac{6}{20} * 8 \frac{7}[8}= \frac{3}{10} * \frac{27}{8} - 2\frac{1}{4} * \frac{3}{10} + \frac{6}{20} * \frac{71}{8} = \frac{3}{10} * \frac{27}{8} - \frac{18}{8} * \frac{3}{10} + \frac{3}{10} * \frac{71}{8} = \frac{81}{80} - \frac{54}{80} + \frac{213}{80} = \frac{240}{80} = 3
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zadania w załączniku
9.
a) 2/3 * (2 5/6 + 1,75)= 2/3 * (17/6 + 1 3/4)= 2/3 * (17/6 + 7/4)= 2/3 * (34/12 + 21/12)= 2/3 * 55/12= 55/18 \approx 3
b) (4 \frac{7}{8} - 2,5) * 1 \frac{1}{3} = ( \frac{39}{8} - \frac{25}{10} ) * 1 \frac{1}{3} = ( \frac{390}{80} - \frac{200}{80} ) * 1 \frac{1}{3} = \frac{190}{80} * \frac{4}{3} = \frac{190}{60} \approx 3
c) 2 \frac{2}{3} : (1 \frac{7}{9} + 2 \frac{2}{15} ) = \frac{8}{3} : ( \frac{80}{45} + \frac{96}{45} ) = \frac{8}{3} " \frac{176}{45} = \frac{15}{22}
d) 1 \frac{4}{5} : (8 \frac{13}{25} - 1,5) = !\frac{4}{5} : \frac{213}{25} - \frac{15}{10}= \frac{9}{5} * \frac{50}{351} = \frac{10}{39}
e) 3\frac{1}{2} * (1\frac{3}{5} + 2,75) = 3\frac{1}{2} * (2,6 + 2,75)= 3,5 * 5,35= 18,725
f) 1\frac{2}{3} : (5,5 * 2\frac{2}{11} - 3\frac{2}{3})= 1\frac{2}{3} : (12-3\frac{2}{3})= \frac{5}{3} : 8\frac{1}{3} = \frac{1}{5}
10.
a) \frac{2}{3} * \frac{4}{5} + \frac{2}{3} * \frac{2}{5} = \frac{2}{3} * 0,6 = \frac{8}{15} + \frac{4}{15} + \frac{2}{3} * \frac{3}{5} = 1 \frac{3}{15} = 1 \frac{1}{5}
b)\frac{1}{2} - 0,5 * \frac{3}{7} - \frac{2}{7} * \frac{2}{4} = \frac{6}{14} - \frac{3}{14} - \frac{2}{14} = \frac{1}{14}
c) \frac{1}{4} * 2\frac{2}{3} - 1\frac{1}{6} * \frac{1}{4} + \frac{1}{2} * 0,25= \frac{1}{4} * \frac{8}{3} - \frac{7}{6} * \frac{1}{4} + \frac{1}{2} * \frac{1}{4} = \frac{8}{12} - \frac{7}{24} + \frac{1}{8} = \frac{16}{24} - \frac{7}{24} + \frac{3}{24} = \frac{9}{24} + \frac{3}{24} = \frac{12}{24} = |frac{1}{2}
d) 0,3 * 3\frac{3}{8} - 2,25 * \frac{3}{10} + \frac{6}{20} * 8 \frac{7}[8}= \frac{3}{10} * \frac{27}{8} - 2\frac{1}{4} * \frac{3}{10} + \frac{6}{20} * \frac{71}{8} = \frac{3}{10} * \frac{27}{8} - \frac{18}{8} * \frac{3}{10} + \frac{3}{10} * \frac{71}{8} = \frac{81}{80} - \frac{54}{80} + \frac{213}{80} = \frac{240}{80} = 3