Вычислите дроби. 1/4+4/7+9/28 1/5+3/10+7/20 3/20+7/30+2/40 17/20+23/30+11/60

Question

Ульяна Полякова

Математика

7 сентября, 19:58

Вычислите дроби. 1/4+4/7+9/28 1/5+3/10+7/20 3/20+7/30+2/40 17/20+23/30+11/60

+4

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Алина Михайлова · Answer 1

A) 1/4 + 4/7 + 9/28 = (1 * 7) / (4 * 7) + (4 * 4) / (7 * 4) + 9/28 = 7/28 + 16/28 + 9/28 = (7 + 16 + 9) / 28 = 32/28 = 8/7 = 1 ¹/₇;

B) 1/5 + 3/1O + 7/2O = (1 * 4) / (5 * 4) + (3 * 2) / (1O * 2) + 7/2O = 4/2O + 6/2O + 7/2O = (4 + 6 + 7) / 2O = 17/2O;

C) 3/2O + 7/3O + 2/4O = (3 * 6) / (2O * 6) + (7 * 4) / (3O * 4) + (2 * 3) / (4O * 3) = 18/12O + 28/12O + 6/12O = 52/12O = 13/4O;

D) 17/2O + 23/3O + 11/6O = (17 * 6) / (2O * 6) + (23 * 4) / (3O * 4) + (11 * 2) / (6O * 2) = 1O2/12O + 92/12O + 22/12O = 216/12O = 9/5 = 1 ⁴/₅.