сократите дроби и приведите их к наименьшему общему знаменателю 18/30 и 15/18, 28/40 И 10/45 , 49/105 И 27/36, 60/90 И 15/50 ,10/20 8 /24 И 9/45 ,22/44 24/30 И 27/36.
Ответы на вопрос
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18/30 и 15/18,
28/40 И 10/45 ,
![frac{28}{40}= frac{4*7}{4*10}= frac{7}{10}= frac{7}{5*2} = frac{7*9}{5*2*9} = frac{63}{90} \ \ frac{10}{45}= frac{5*2}{9*5}= frac{5*2*2}{9*5*2} = frac{20}{90} \ \ frac{63}{90} u frac{20}{90} frac{28}{40}= frac{4*7}{4*10}= frac{7}{10}= frac{7}{5*2} = frac{7*9}{5*2*9} = frac{63}{90} \ \ frac{10}{45}= frac{5*2}{9*5}= frac{5*2*2}{9*5*2} = frac{20}{90} \ \ frac{63}{90} u frac{20}{90}](https://tex.z-dn.net/?f=+frac%7B28%7D%7B40%7D%3D+frac%7B4%2A7%7D%7B4%2A10%7D%3D+frac%7B7%7D%7B10%7D%3D+frac%7B7%7D%7B5%2A2%7D+%3D+frac%7B7%2A9%7D%7B5%2A2%2A9%7D+%3D+frac%7B63%7D%7B90%7D++%5C++%5C++frac%7B10%7D%7B45%7D%3D+frac%7B5%2A2%7D%7B9%2A5%7D%3D+frac%7B5%2A2%2A2%7D%7B9%2A5%2A2%7D+%3D+frac%7B20%7D%7B90%7D++%5C++%5C++frac%7B63%7D%7B90%7D+u++frac%7B20%7D%7B90%7D++)
49/105 И 27/36,
![frac{49}{105}= frac{7*7}{5*3*7}= frac{7}{5*3} = frac{7*4}{5*3*4} = frac{28}{60} \ \ frac{27}{36}= frac{9*3}{4*3*3} = frac{9}{4*3} = frac{9*5}{4*3*5} = frac{45}{60} \ \ frac{28}{60} u frac{45}{60} frac{49}{105}= frac{7*7}{5*3*7}= frac{7}{5*3} = frac{7*4}{5*3*4} = frac{28}{60} \ \ frac{27}{36}= frac{9*3}{4*3*3} = frac{9}{4*3} = frac{9*5}{4*3*5} = frac{45}{60} \ \ frac{28}{60} u frac{45}{60}](https://tex.z-dn.net/?f=+frac%7B49%7D%7B105%7D%3D+frac%7B7%2A7%7D%7B5%2A3%2A7%7D%3D+frac%7B7%7D%7B5%2A3%7D+%3D+frac%7B7%2A4%7D%7B5%2A3%2A4%7D+%3D+frac%7B28%7D%7B60%7D+%5C++%5C++frac%7B27%7D%7B36%7D%3D+frac%7B9%2A3%7D%7B4%2A3%2A3%7D++%3D+frac%7B9%7D%7B4%2A3%7D+%3D+frac%7B9%2A5%7D%7B4%2A3%2A5%7D+%3D+frac%7B45%7D%7B60%7D++%5C++%5C++frac%7B28%7D%7B60%7D+u++frac%7B45%7D%7B60%7D++)
60/90 И 15/50 ,
![frac{60}{90} =frac{3*2*10}{3*3*10}= frac{2*10}{3*10}= frac{20}{30} \ \ frac{15}{50}= frac{5*3}{5*10}= frac{3}{10}= frac{3*3}{10*3}= frac{9}{30} \ \ frac{20}{30} u frac{9}{30} frac{60}{90} =frac{3*2*10}{3*3*10}= frac{2*10}{3*10}= frac{20}{30} \ \ frac{15}{50}= frac{5*3}{5*10}= frac{3}{10}= frac{3*3}{10*3}= frac{9}{30} \ \ frac{20}{30} u frac{9}{30}](https://tex.z-dn.net/?f=frac%7B60%7D%7B90%7D+%3Dfrac%7B3%2A2%2A10%7D%7B3%2A3%2A10%7D%3D+frac%7B2%2A10%7D%7B3%2A10%7D%3D+frac%7B20%7D%7B30%7D+%5C+%5C+frac%7B15%7D%7B50%7D%3D+frac%7B5%2A3%7D%7B5%2A10%7D%3D+frac%7B3%7D%7B10%7D%3D+frac%7B3%2A3%7D%7B10%2A3%7D%3D+frac%7B9%7D%7B30%7D+%5C++%5C++frac%7B20%7D%7B30%7D+u++frac%7B9%7D%7B30%7D++)
10/20 8 /24 И 9/45
![frac{10}{20} = frac{10}{2*10}= frac{1}{2} = frac{5*3}{5*3*2} = frac{15}{30} \ \ frac{8}{24}= frac{8}{3*8}= frac{1}{3} = frac{5*2}{5*2*3}= frac{10}{30} \ \ frac{9}{45} = frac{9}{9*5}= frac{1}{5} = frac{2*3}{5*2*3}= frac{6}{30} \ \ frac{15}{30} u frac{10}{30} u frac{6}{30} frac{10}{20} = frac{10}{2*10}= frac{1}{2} = frac{5*3}{5*3*2} = frac{15}{30} \ \ frac{8}{24}= frac{8}{3*8}= frac{1}{3} = frac{5*2}{5*2*3}= frac{10}{30} \ \ frac{9}{45} = frac{9}{9*5}= frac{1}{5} = frac{2*3}{5*2*3}= frac{6}{30} \ \ frac{15}{30} u frac{10}{30} u frac{6}{30}](https://tex.z-dn.net/?f=+frac%7B10%7D%7B20%7D+%3D+frac%7B10%7D%7B2%2A10%7D%3D+frac%7B1%7D%7B2%7D+%3D+frac%7B5%2A3%7D%7B5%2A3%2A2%7D+%3D+frac%7B15%7D%7B30%7D++%5C++%5C++frac%7B8%7D%7B24%7D%3D+frac%7B8%7D%7B3%2A8%7D%3D+frac%7B1%7D%7B3%7D+%3D+frac%7B5%2A2%7D%7B5%2A2%2A3%7D%3D+frac%7B10%7D%7B30%7D++++%5C++%5C++frac%7B9%7D%7B45%7D+%3D+frac%7B9%7D%7B9%2A5%7D%3D+frac%7B1%7D%7B5%7D+%3D+frac%7B2%2A3%7D%7B5%2A2%2A3%7D%3D+frac%7B6%7D%7B30%7D+++%5C++%5C++frac%7B15%7D%7B30%7D+u++frac%7B10%7D%7B30%7D+u++frac%7B6%7D%7B30%7D+++)
,22/44 24/30 И 27/36.
![frac{22}{44}= frac{11*2}{11*4}= frac{2}{4} = frac{2*5}{4*5} = frac{10}{20} \ \ frac{24}{30} = frac{6*4}{6*5} = frac{4}{5}= frac{4*4}{5*4}= frac{16}{20} \ \ frac{27}{36}= frac{9*3}{9*4}= frac{3}{4}= frac{3*5}{4*5}= frac{15}{20} frac{22}{44}= frac{11*2}{11*4}= frac{2}{4} = frac{2*5}{4*5} = frac{10}{20} \ \ frac{24}{30} = frac{6*4}{6*5} = frac{4}{5}= frac{4*4}{5*4}= frac{16}{20} \ \ frac{27}{36}= frac{9*3}{9*4}= frac{3}{4}= frac{3*5}{4*5}= frac{15}{20}](https://tex.z-dn.net/?f=+frac%7B22%7D%7B44%7D%3D+frac%7B11%2A2%7D%7B11%2A4%7D%3D+frac%7B2%7D%7B4%7D+%3D+frac%7B2%2A5%7D%7B4%2A5%7D+%3D+frac%7B10%7D%7B20%7D+++%5C++%5C++frac%7B24%7D%7B30%7D+%3D+frac%7B6%2A4%7D%7B6%2A5%7D+%3D+frac%7B4%7D%7B5%7D%3D+frac%7B4%2A4%7D%7B5%2A4%7D%3D+frac%7B16%7D%7B20%7D+++%5C++%5C++frac%7B27%7D%7B36%7D%3D+frac%7B9%2A3%7D%7B9%2A4%7D%3D+frac%7B3%7D%7B4%7D%3D+frac%7B3%2A5%7D%7B4%2A5%7D%3D+frac%7B15%7D%7B20%7D+++)
![frac{10}{20} u frac{16}{20} u frac{15}{20} frac{10}{20} u frac{16}{20} u frac{15}{20}](https://tex.z-dn.net/?f=+frac%7B10%7D%7B20%7D++u++frac%7B16%7D%7B20%7D+u++frac%7B15%7D%7B20%7D+++)
28/40 И 10/45 ,
49/105 И 27/36,
60/90 И 15/50 ,
10/20 8 /24 И 9/45
,22/44 24/30 И 27/36.
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