Сократите:
1) $\frac{4 * 5}{25 * 6}$;
2) $\frac{8 * 13}{39 * 2}$;
3) $\frac{3 * 38}{19 * 27}$;
4) $\frac{2 * 3 * 4 * 5}{4 * 5 * 6 * 7}$;
5) $\frac{6 * 7 * 8 * 9 * 10}{7 * 9 * 11 * 12}$;
6) $\frac{3 * 16 - 8 * 3}{27}$;
7) $\frac{9 * 13 + 9 * 2}{54 * 13}$;
8) $\frac{27 * 15 - 7 * 27}{9 * 15 - 9 * 11}$;
9) $\frac{24 * 2 + 6 * 24}{60 * 7 - 5 * 60}$.

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Решение

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Математика 6 класс Мерзляк. Номер №225

Решение 1

$\frac{4 * 5}{25 * 6} = \frac{\overset{2}{\cancel{4}} * \overset{1}{\cancel{5}}}{\underset{5}{\cancel{25}} * \underset{3}{\cancel{6}}} = \frac{2}{15}$

Решение 2

$\frac{8 * 13}{39 * 2} = \frac{\overset{4}{\cancel{8}} * \overset{1}{\cancel{13}}}{\underset{3}{\cancel{39}} * \underset{1}{\cancel{2}}} = \frac{4}{3} = 1\frac{1}{3}$

Решение 3

$\frac{3 * 38}{19 * 27} = \frac{\overset{1}{\cancel{3}} * \overset{2}{\cancel{38}}}{\underset{1}{\cancel{19}} * \underset{9}{\cancel{27}}} = \frac{2}{9}$

Решение 4

$\frac{2 * 3 * 4 * 5}{4 * 5 * 6 * 7} = \frac{\overset{1}{\cancel{2}} * \overset{1}{\cancel{3}} * \overset{1}{\cancel{4}} * \overset{1}{\cancel{5}}}{\underset{1}{\cancel{4}} * \underset{1}{\cancel{5}} * \underset{1}{\cancel{6}} * 7} = \frac{1}{7}$

Решение 5

$\frac{6 * 7 * 8 * 9 * 10}{7 * 9 * 11 * 12} = \frac{\overset{1}{\cancel{6}} * \overset{1}{\cancel{7}} * \overset{4}{\cancel{8}} * \overset{1}{\cancel{9}} * 10}{\underset{1}{\cancel{7}} * \underset{1}{\cancel{9}} * 11 * \underset{1}{\cancel{12}}} = \frac{40}{11} = 3\frac{7}{11}$

Решение 6

$\frac{3 * 16 - 8 * 3}{27} = \frac{3 * (16 - 8)}{27} = \frac{\overset{1}{\cancel{3}} * 8}{\underset{9}{\cancel{27}}} = \frac{8}{9}$

Решение 7

$\frac{9 * 13 + 9 * 2}{54 * 13} = \frac{9 * (13 + 2)}{54 * 13} = \frac{\overset{1}{\cancel{9}} * \overset{5}{\cancel{15}}}{\underset{2}{\cancel{54}} * 13} = \frac{5}{26}$

Решение 8

$\frac{27 * 15 - 7 * 27}{9 * 15 - 9 * 11} = \frac{27 * (15 - 7)}{9 * (15 - 11)} = \frac{\overset{3}{\cancel{27}} * \overset{2}{\cancel{8}}}{\underset{1}{\cancel{9}} * \underset{1}{\cancel{4}}} = 6$

Решение 9

$\frac{24 * 2 + 6 * 24}{60 * 7 - 5 * 60} = \frac{24 * (2 + 6)}{60 * (7 - 5)} = \frac{\overset{8}{\cancel{24}} * \overset{1}{\cancel{8}}}{\underset{5}{\cancel{60}} * \underset{1}{\cancel{2}}} = \frac{8}{5} = 1\frac{3}{5}$