1 : 1/36 - 1/45 = 1 : 45/1620 - 36/1620 = 1 : 9/1620 = 1 : 1/180 =
= 1* 180/1 = 180
Переводим смешанные дроби в неправильные и при +- находим НОЗ, если это возможно:
№1
7) ![\frac{55}{12} * \frac{14}{11} + \frac{16}{15} * \frac{45}{64} = 6,58](https://tex.z-dn.net/?f=%5Cfrac%7B55%7D%7B12%7D+%2A+%5Cfrac%7B14%7D%7B11%7D+%2B+%5Cfrac%7B16%7D%7B15%7D+%2A+%5Cfrac%7B45%7D%7B64%7D+%3D+6%2C58)
1. ![\frac{55}{12} * \frac{14}{11} = \frac{35}{6} = 5,83](https://tex.z-dn.net/?f=%5Cfrac%7B55%7D%7B12%7D+%2A+%5Cfrac%7B14%7D%7B11%7D+%3D+%5Cfrac%7B35%7D%7B6%7D+%3D+5%2C83)
2. ![\frac{16}{15} * \frac{45}{64} = \frac{3}{4} = 0,75](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B15%7D+%2A+%5Cfrac%7B45%7D%7B64%7D+%3D+%5Cfrac%7B3%7D%7B4%7D+%3D+0%2C75)
3. ![5,83 + 0,75 = 6,58](https://tex.z-dn.net/?f=5%2C83+%2B+0%2C75+%3D+6%2C58)
8) ![(8 - \frac{15}{7} * \frac{28}{9}) * \frac{27}{44} = 1\frac{7}{11}](https://tex.z-dn.net/?f=%288+-+%5Cfrac%7B15%7D%7B7%7D+%2A+%5Cfrac%7B28%7D%7B9%7D%29+%2A+%5Cfrac%7B27%7D%7B44%7D+%3D+1%5Cfrac%7B7%7D%7B11%7D)
1. ![\frac{15}{7} * \frac{28}{9} = \frac{60}{9} = 6\frac{6}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B7%7D+%2A+%5Cfrac%7B28%7D%7B9%7D+%3D+%5Cfrac%7B60%7D%7B9%7D+%3D+6%5Cfrac%7B6%7D%7B9%7D)
2. ![8 - 6\frac{6}{9} = 2\frac{6}{9}](https://tex.z-dn.net/?f=8+-+6%5Cfrac%7B6%7D%7B9%7D+%3D+2%5Cfrac%7B6%7D%7B9%7D)
3. ![\frac{24}{9} * \frac{27}{44} = \frac{18}{11} = 1\frac{7}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B9%7D+%2A+%5Cfrac%7B27%7D%7B44%7D+%3D+%5Cfrac%7B18%7D%7B11%7D+%3D+1%5Cfrac%7B7%7D%7B11%7D)
№2
3) ![(\frac{81}{16} - \frac{9}{8})(\frac{5}{6} + \frac{3}{14}) = 4,125](https://tex.z-dn.net/?f=%28%5Cfrac%7B81%7D%7B16%7D+-+%5Cfrac%7B9%7D%7B8%7D%29%28%5Cfrac%7B5%7D%7B6%7D+%2B+%5Cfrac%7B3%7D%7B14%7D%29+%3D+4%2C125)
1. ![\frac{81}{16} - \frac{9}{8} = \frac{81}{16} - \frac{18}{16} = \frac{63}{16} = 3\frac{15}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7B16%7D+-+%5Cfrac%7B9%7D%7B8%7D+%3D+%5Cfrac%7B81%7D%7B16%7D+-+%5Cfrac%7B18%7D%7B16%7D+%3D+%5Cfrac%7B63%7D%7B16%7D+%3D+3%5Cfrac%7B15%7D%7B16%7D)
НОЗ: 16.
2. ![\frac{5}{6} + \frac{3}{14} = \frac{35}{42} + \frac{9}{42} = \frac{44}{42} = 1\frac{2}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D+%2B+%5Cfrac%7B3%7D%7B14%7D+%3D+%5Cfrac%7B35%7D%7B42%7D+%2B+%5Cfrac%7B9%7D%7B42%7D+%3D+%5Cfrac%7B44%7D%7B42%7D+%3D+1%5Cfrac%7B2%7D%7B42%7D)
НОЗ: 42.
3. ![\frac{63}{16} * \frac{44}{42} = \frac{231}{56} = 4,125](https://tex.z-dn.net/?f=%5Cfrac%7B63%7D%7B16%7D+%2A+%5Cfrac%7B44%7D%7B42%7D+%3D+%5Cfrac%7B231%7D%7B56%7D+%3D+4%2C125)
4) ![\frac{81}{6} - \frac{9}{8} * (\frac{5}{6} + \frac{3}{14}) = 12\frac{27}{84}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7B6%7D+-+%5Cfrac%7B9%7D%7B8%7D+%2A+%28%5Cfrac%7B5%7D%7B6%7D+%2B+%5Cfrac%7B3%7D%7B14%7D%29+%3D+12%5Cfrac%7B27%7D%7B84%7D)
1. ![\frac{5}{6} + \frac{3}{14} = \frac{35}{42} + \frac{9}{42} = \frac{44}{42} = 1\frac{2}{42}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D+%2B+%5Cfrac%7B3%7D%7B14%7D+%3D+%5Cfrac%7B35%7D%7B42%7D+%2B+%5Cfrac%7B9%7D%7B42%7D+%3D+%5Cfrac%7B44%7D%7B42%7D+%3D+1%5Cfrac%7B2%7D%7B42%7D)
НОЗ: 42.
2. ![\frac{9}{8} * \frac{44}{42} = \frac{33}{28} = 1\frac{5}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B8%7D+%2A+%5Cfrac%7B44%7D%7B42%7D+%3D+%5Cfrac%7B33%7D%7B28%7D+%3D+1%5Cfrac%7B5%7D%7B28%7D)
3. ![\frac{81}{6} - \frac{33}{28} = \frac{1134}{84} - \frac{99}{84} = -\frac{1035}{84} = 12\frac{27}{84}](https://tex.z-dn.net/?f=%5Cfrac%7B81%7D%7B6%7D+-+%5Cfrac%7B33%7D%7B28%7D+%3D+%5Cfrac%7B1134%7D%7B84%7D+-+%5Cfrac%7B99%7D%7B84%7D+%3D+-%5Cfrac%7B1035%7D%7B84%7D+%3D+12%5Cfrac%7B27%7D%7B84%7D)
НОЗ: 84.
№3
2) ![\frac{5}{2} * \frac{10}{3} * \frac{21}{5} * \frac{8}{35} = 8](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D+%2A+%5Cfrac%7B10%7D%7B3%7D+%2A+%5Cfrac%7B21%7D%7B5%7D+%2A+%5Cfrac%7B8%7D%7B35%7D+%3D+8)
1. ![\frac{5}{2} * \frac{10}{3} = \frac{25}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D+%2A+%5Cfrac%7B10%7D%7B3%7D+%3D+%5Cfrac%7B25%7D%7B3%7D)
2. ![\frac{25}{3} * \frac{21}{5} = \frac{35}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B3%7D+%2A+%5Cfrac%7B21%7D%7B5%7D+%3D+%5Cfrac%7B35%7D%7B1%7D)
3. ![\frac{35}{1} * \frac{8}{35} = 8](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B1%7D+%2A+%5Cfrac%7B8%7D%7B35%7D+%3D+8)
4) ![\frac{9}{5} * \frac{5}{3} * \frac{15}{7} * \frac{14}{3} = 30](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B5%7D+%2A+%5Cfrac%7B5%7D%7B3%7D+%2A+%5Cfrac%7B15%7D%7B7%7D+%2A+%5Cfrac%7B14%7D%7B3%7D+%3D+30)
1. ![\frac{9}{5} * \frac{5}{3} = \frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B5%7D+%2A+%5Cfrac%7B5%7D%7B3%7D+%3D+%5Cfrac%7B3%7D%7B1%7D)
2. ![\frac{3}{1} * \frac{15}{7} = \frac{45}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B1%7D+%2A+%5Cfrac%7B15%7D%7B7%7D+%3D+%5Cfrac%7B45%7D%7B7%7D)
3. ![\frac{45}{7} * \frac{14}{3} = 30](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B7%7D+%2A+%5Cfrac%7B14%7D%7B3%7D+%3D+30)
№4
1) ![\frac{23}{4} * 8 - \frac{7}{3} * \frac{17}{14} - \frac{85}{48} * \frac{32}{15} = 42\frac{68}{168}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B4%7D+%2A+8+-+%5Cfrac%7B7%7D%7B3%7D+%2A+%5Cfrac%7B17%7D%7B14%7D+-+%5Cfrac%7B85%7D%7B48%7D+%2A+%5Cfrac%7B32%7D%7B15%7D+%3D+42%5Cfrac%7B68%7D%7B168%7D)
1. ![\frac{23}{4} * \frac{8}{1} = 46](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B4%7D+%2A+%5Cfrac%7B8%7D%7B1%7D+%3D+46)
2.
[/tex]
3. ![\frac{85}{48} * \frac{32}{15} = \frac{136}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B85%7D%7B48%7D+%2A+%5Cfrac%7B32%7D%7B15%7D+%3D+%5Cfrac%7B136%7D%7B36%7D)
4. 46 -
= ![44\frac{5}{6}](https://tex.z-dn.net/?f=44%5Cfrac%7B5%7D%7B6%7D)
5. ![\frac{269}{6} - \frac{136}{56} = \frac{7532}{168} - \frac{408}{168} = \frac{7124}{168} = 42\frac{68}{168}](https://tex.z-dn.net/?f=%5Cfrac%7B269%7D%7B6%7D+-+%5Cfrac%7B136%7D%7B56%7D+%3D+%5Cfrac%7B7532%7D%7B168%7D+-+%5Cfrac%7B408%7D%7B168%7D+%3D+%5Cfrac%7B7124%7D%7B168%7D+%3D+42%5Cfrac%7B68%7D%7B168%7D)
НОЗ: 168.
1.24ч.-8ч.=16ч.-вторник
24ч.(среда)+10ч.(четверг)+16ч.(вторник)=50ч.
ответ:50
2.10утра
должно пройти 50 ч.
10+14-закончится четверг
50-14-24(пятница)=12ч.(осталось), в 12ч. субботы.
ответ: в 12чю в субботу
Сократим дробь
300/1000 =3/10
приведем обе дроби к общему знаменателю
3/10 и 5/10
3/10<5/10
Ответ: Лена пробежит большее расстояние.
1 и 7
2 и 6
3 и 5
4 и 4
Сумма этих чисел 8(если я конечно правильно поняла задание)