Вычислите 1 целая 2/3 - 5/14 + (1 целая 3/4-1/12) - 4/21

Question

Математика

Андря

15 января, 10:35

Вычислите 1 целая 2/3 - 5/14 + (1 целая 3/4-1/12) - 4/21

+2

Ответы (1)

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Оза · Answer 1

1) 1 3/4 - 1/12 = 7/4 - 1/12 = (7 * 3 - 1 * 1) / 12 = 21/12 - 1/12 = 20/12 = 5/3 = 1 2/3

2) 1 2/3 - 5/14 = 5/3 - 5/14 = (5 * 14 - 5 * 3) / 42 = 70/42 - 15/42 = 55/42 = 1 13/42

3) 13/42 + 1 2/3 = 55/42 + 5/3 = (55 * 1 + 5 * 14) / 42 = 55/42 + 70/42 = 125/42 = 2 41/42

4) 2 41/42 - 4/21 = 125/42 - 4/21 = (125 * 1 - 4 * 2) / 42 = 125/42 - 8/42 = 117/42 = 39/14 = 2 11/14

Ответ: 2 11/14