Вычислите: 19/20-4/5 4/7-5/21 1/4-3/16 5/13-10/169

Question

Вероника Астахова

Математика

28 августа, 19:43

Вычислите: 19/20-4/5 4/7-5/21 1/4-3/16 5/13-10/169

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Ответы (1)

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София Киреева · Answer 1

1) 19/2O - 4/5 = 19/2O - (4 * 4) / (5 * 4) = 19/2O - 16/2O = (19 - 16) / 2O = 3/2O = (3 * 5) / (2O * 5) = 15/1OO = O, 15.

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

3) 1/4 - 3/16 = (1 * 4) / (4 * 4) - 3/16 = 4/16 - 3/16 = (4 - 3) / 16 = 1/16 = O, O625.

4) 5/13 - 1O/169 = (5 * 13) / (13 * 13) - 1O/169 = 65/169 - 1O/169 = (65 - 1O) / 169 = 55/169.

Ответ: 1) 19/2O - 4/5 = 3/2O = O, 15; 2) 4/7 - 5/21 = 1/3; 3) 1/4 - 3/16 = 1/16; 4) 5/13 - 1O/169 = 55/169.