2/15y + 3/4 = 5/6 5/8m - 7/12m + 5/6m = 1/4 2 1/5 - 3/4m = 59/60

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Ksistos

Математика

26 сентября, 00:49

2/15y + 3/4 = 5/6 5/8m - 7/12m + 5/6m = 1/4 2 1/5 - 3/4m = 59/60

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Екатерина Куликова · Answer 1

1) 2/15y + 3/4 = 5/6;

2/15y = 5/6 - 3/4;

2/15y = (5 * 2) / (6 * 2) - (3 * 3) / (4 * 3);

2/15y = 10/12 - 9/12;

2/15y = 1/12;

y = 1/12 : 2/15;

y = 1/12 * 15/2;

y = (3 * 5) / (3 * 4 * 2);

y = 5/8.

2) 5/8m - 7/12m + 5/6m = 1/4;

(5 * 3) / 24m - (7 * 2) / 24m + (5 * 4) / 24m = 1/4;

15/24m - 14/24m + 20/24m = 1/4;

1/24m + 20/24m = 1/4;

21/24m = 1/4;

(3 * 7) / (3 * 8) m = 1/4;

7/8m = 1/4;

m = 1/4 : 7/8;

m = 1/4 * 8/7;

m = (2 * 4) / (4 * 7);

m = 2/7.

3) 2 1/5 - 3/4m = 59/60;

2 1/5 - 59/60 = 3/4m;

11/5 - 59/60 = 3/4m;

(11 * 12) / 60 - 59/60 = 3/4m;

132/60 - 59/60 = 3/4m;

73/60 = 3/4m;

m = 73/60 : 3/4;

m = 73/60 * 4/3;

m = (73 * 4) / (4 * 15 * 3);

m = 73/45;

m = 1 28/45.