9 1/5 - (5 х-4 1/2) : 11 1/4=8 14/15

Question

Евгения Гусева

Математика

26 апреля, 21:23

9 1/5 - (5 х-4 1/2) : 11 1/4=8 14/15

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Жедар · Answer 1

9 1/5 - (5 * х - 4 1/2) : 11 1/4 = 8 14/15;

(5 * х - 4 1/2) : 11 1/4 = 9 1/5 - 8 14/15;

(5 * х - 4 1/2) : 11 1/4 = 46/5 - 134/15;

(5 * х - 4 1/2) : 11 1/4 = 138/15 - 134/15;

(5 * х - 4 1/2) : 11 1/4 = 4/15;

(5 * х - 4 1/2) = 4/15 * 11 1/4;

(5 * х - 4 1/2) = 4/15 * 45/4;

(5 * х - 4 1/2) = (4 * 45) / (15 * 4);

(5 * х - 4 1/2) = 3;

5 * х = 3 + 4 1/2;

5 * х = 7 1/2;

х = 7 1/2 : 5;

х = 15/2 * 1/5;

х = 15/10;

х = 3/2;

х = 1 1/2.

Проверка:

9 1/5 - (5 * 1 1/2 - 4 1/2) : 11 1/4 = 8 14/15;

46/5 - (5 * 3/2 - 9/2) : 45/4 = 8 14/15;

46/5 - (15/2 - 9/2) : 45/4 = 8 14/15;

46/5 - 6/2 : 45/4 = 8 14/15;

46/5 - 3 * 4/45 = 8 14/15;

46/5 - 12/45 = 8 14/15;

46/5 - 4/15 = 8 14/15;

(46 * 3) / (5 * 3) - 4/15 = 8 14/15;

138/15 - 4/15 = 8 14/15;

134/15 = 8 14/15;

8 14/15 = 8 14/15. Решение верно.