Question

Решите дроби 1)нужно убрать скобки, 2)записать под одной чертой дроби, 3)сократить, 4)перемножить если нужно, 5)записать результат

Answer 1

а)

$(54 \times \frac{13}{14} ) \times \frac{7}{13} = 54 \times \frac{13}{14} \times \frac{7}{13} = \frac{54 \times 13 \times 7}{14 \times 13} = \frac{54}{2} = 27$

б)

$(46 \times \frac{2}{15}) \times \frac{15}{23} = 46 \times \frac{2}{15} \times \frac{15}{23} = \frac{46 \times 2\times 15}{15 \times 23} = 4$

в)

$( \frac{12}{13} \times \frac{14}{17} ) \times ( \frac{17}{14} \times \frac{13}{24} ) = \frac{12}{13} \times \frac{14}{17} \times \frac{17}{14} \times \frac{13}{24} = \frac{12 \times 14 \times 17 \times 13}{13 \times 17 \times 14 \times 24} = \frac{1}{2}$

г)

$( \frac{5}{16} \times \frac{13}{18} ) \times ( \frac{18}{26} \times \frac{16}{25} ) = \frac{5}{16} \times \frac{13}{18} \times \frac{18}{26} \times \frac{16}{25} = \frac{5 \times 13 \times 18 \times 16}{16 \times 18 \times 26 \times 25} = \frac{1}{10}$

д)

$\frac{21}{22} \times ( \frac{22}{23} \times \frac{24}{25} ) \times \frac{23}{24} = \frac{21}{22} \times \frac{22}{23} \times \frac{24}{25} \times \frac{23}{24} = \frac{21 \times 22 \times 24 \times 23}{22 \times 23 \times 25 \times 24} = \frac{21}{25}$

е)

$\frac{32}{33} \times \frac{52}{53} \times ( \frac{53}{52} \times \frac{33}{34} ) = \frac{32}{33} \times \frac{52}{53} \times \frac{53}{52} \times \frac{33}{34} = \frac{32 \times 52 \times 53 \times 33}{33 \times 53 \times 52 \times 34} = \frac{32}{34} = \frac{16}{17}$