Произведение обыкновенных дробей.
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1) ![\frac{5}{9} * \frac{4}{7} = \frac{20}{63} \frac{5}{9} * \frac{4}{7} = \frac{20}{63}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%20%2A%20%5Cfrac%7B4%7D%7B7%7D%20%3D%20%5Cfrac%7B20%7D%7B63%7D)
2) ![-\frac{14}{17} * \frac{1}{3} = -\frac{14}{54} -\frac{14}{17} * \frac{1}{3} = -\frac{14}{54}](https://tex.z-dn.net/?f=-%5Cfrac%7B14%7D%7B17%7D%20%2A%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20-%5Cfrac%7B14%7D%7B54%7D)
3) ![\frac{7}{11} * \frac{22}{5} = \frac{14}{5} = 2\frac{4}{5} = 2,8 \frac{7}{11} * \frac{22}{5} = \frac{14}{5} = 2\frac{4}{5} = 2,8](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B11%7D%20%2A%20%5Cfrac%7B22%7D%7B5%7D%20%3D%20%5Cfrac%7B14%7D%7B5%7D%20%3D%202%5Cfrac%7B4%7D%7B5%7D%20%3D%202%2C8)
4) ![-\frac{5}{8} * (-\frac{8}{5}) = 1 -\frac{5}{8} * (-\frac{8}{5}) = 1](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B8%7D%20%2A%20%28-%5Cfrac%7B8%7D%7B5%7D%29%20%3D%201)
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Умножение смешанных чисел.
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Сразу перевожу в неправильные дроби, чтобы сделать, например: 1*3+1
1) ![\frac{4}{3} * \frac{13}{4} = \frac{13}{3} = 4\frac{1}{3} = 4,3(3) \frac{4}{3} * \frac{13}{4} = \frac{13}{3} = 4\frac{1}{3} = 4,3(3)](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cfrac%7B13%7D%7B4%7D%20%3D%20%5Cfrac%7B13%7D%7B3%7D%20%3D%204%5Cfrac%7B1%7D%7B3%7D%20%3D%204%2C3%283%29)
2) ![\frac{2}{11} * \frac{11}{6} = \frac{1}{3} \frac{2}{11} * \frac{11}{6} = \frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B11%7D%20%2A%20%5Cfrac%7B11%7D%7B6%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
3) ![\frac{3}{4} * \frac{4}{3} = 1 \frac{3}{4} * \frac{4}{3} = 1](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%20%5Cfrac%7B4%7D%7B3%7D%20%3D%201)
4) ![\frac{40}{7} * \frac{9}{20} = \frac{18}{7} = 2\frac{4}{7} \frac{40}{7} * \frac{9}{20} = \frac{18}{7} = 2\frac{4}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B7%7D%20%2A%20%5Cfrac%7B9%7D%7B20%7D%20%3D%20%5Cfrac%7B18%7D%7B7%7D%20%3D%202%5Cfrac%7B4%7D%7B7%7D)
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Деление на обыкновенную дробь.
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Тоже самое, не забудь перевернуть дробь, в моём случае сразу переворачиваю:
1) ![\frac{5}{12} * \frac{8}{3} = \frac{10}{9} = 1\frac{1}{9} = 1,1(1) \frac{5}{12} * \frac{8}{3} = \frac{10}{9} = 1\frac{1}{9} = 1,1(1)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D%20%2A%20%5Cfrac%7B8%7D%7B3%7D%20%3D%20%5Cfrac%7B10%7D%7B9%7D%20%3D%201%5Cfrac%7B1%7D%7B9%7D%20%3D%201%2C1%281%29)
2) ![\frac{15}{31} * \frac{2}{1} = \frac{30}{31} \frac{15}{31} * \frac{2}{1} = \frac{30}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B31%7D%20%2A%20%5Cfrac%7B2%7D%7B1%7D%20%3D%20%5Cfrac%7B30%7D%7B31%7D)
3) ![\frac{51}{60} * (-\frac{20}{17}) = -\frac{3}{3} = -1 \frac{51}{60} * (-\frac{20}{17}) = -\frac{3}{3} = -1](https://tex.z-dn.net/?f=%5Cfrac%7B51%7D%7B60%7D%20%2A%20%28-%5Cfrac%7B20%7D%7B17%7D%29%20%3D%20-%5Cfrac%7B3%7D%7B3%7D%20%3D%20-1)
4) ![\frac{47}{40} * (-\frac{4}{3}) = -\frac{47}{30} = 1\frac{17}{30} \frac{47}{40} * (-\frac{4}{3}) = -\frac{47}{30} = 1\frac{17}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B47%7D%7B40%7D%20%2A%20%28-%5Cfrac%7B4%7D%7B3%7D%29%20%3D%20-%5Cfrac%7B47%7D%7B30%7D%20%3D%201%5Cfrac%7B17%7D%7B30%7D)
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