Выполните деление : 1) 1/3÷1/9; 2) 3/8÷1/2; 3) 4/9÷8/9; 4)1/12÷1/6; 5)3/5÷1/25; 6)2/7÷3/7; 7)1/10÷1/10; 8)3/4÷5/8.

Чтобы выполнить денение заменим его на умножение на обратную дробь:

1) 1/3 : 1/9 = 1/3 * 9/1 = (1 * 9)/(3 * 1) = (3 * 3)/3 = 3;

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

3) 4/9 : 8/9 = 4/9 * 9/8 = (4 * 9)/(9 * 8) = 4/(4 * 2) = 1/2;

4) 1/12 : 1/6 = 1/12 * 6/1 = (1 * 6)/(12 * 1) = 6/(6 * 2) = 1/2;

5) 3/5 : 1/25 = 3/5 * 25/1 = (3 * 25)/5 = (3 * 5 * 5)/5 = 3 * 5 = 15;

6) 2/7 : 3/7 = 2/7 * 7/3 = (2 * 7)/(7 * 3) = 2/3;

7) 1/10 : 1/10 = 1/10 * 10/1 = 1;

8) 3/4 : 5/8 = 3/4 * 8/5 = (3 * 8)/(4 * 5) = (3 * 2 * 4)/(4 * 5) = (3 * 2)/5 = 6/5 = 1 1/5.