4/5:8/3-3:3/4:1/6-1/15

Question

София Никитина

Математика

16 января, 06:50

4/5:8/3-3:3/4:1/6-1/15

+1

Ответы (1)

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Матвей Беспалов · Answer 1

4/5 : 8/3 - 3 : 3/4 : 1/6 - 1/15 = - 23 23/30.

1) 4/5 : 8/3 = 4/5 * 3/8 = (4 * 3) / (5 * 8) = (4 * 3) / (5 * 4 * 2) = 3 / (5 * 2) = 3/10;

2) 3 : 3/4 = 3 * 4/3 = (3 * 4) / 3 = 4;

3) 4 : 1/6 = 4 * 6/1 = 4 * 6 = 24;

4) 3/10 - 24 = - (24 - 3/10) = - (23 + 1 - 3/10) = - (23 + 10/10 - 3/10) = - (23 + (10 - 3) / 10) = - (23 + 7/10) = - (23 7/10) = - 23 7/10;

5) - 23 7/10 - 1/15 = - (23 7/10 + 1/15) = - (23 + 7/10 + 1/15) = - (23 + (7 * 3) / (10 * 3) + (1 * 2) / (15 * 2)) = - (23 + 21/10 + 2/30) = - (23 + (21 + 2) / 30) = - (23 + 23/30) = - 23 23/30.