а) 3/8 : 5/7, б) 1 3/5 : 3/4, в) 5/7 : 4/7, г) 3 5/16 : 5/12, д) 3 9/25 : 5/9, е) 7/8 : 1/2, ж) 3/8 : 3/3, з) 5/5 : 2/5, и) 8/5 : 4/5, к) 3/7 : 1/2, л) 3 1/2 : 2/3, м) 4 1/2 : 1 1/2, н) 1 2/3 : 1 1/10, о) 10 1/3 : 2 2/3, п) 3 1/15 : 4/15, р) 4 3/4 : 3/3, с) 1 8/11 : 1/11, т) 0 5/18 : 1/18, у) 3 1/4 : 1/1, ф) 3 7/31 : 1 5/31

Разберём действия с дробями:

• Чтобы разделить дробь на дробь, нужно первую дробь умножить на дробь, обратную второй.

а)

3/8 : 5/7 = 3/8 * 7/5 = (3 * 7)/(8 * 5) = 21/40

б)

1 3/5 : 3/4 = 8/5 : 3/4 = 8/5 * 4/3 = (8 * 4)/(5 * 3) = 32/15 = 2 2/15

в)

5/7 : 4/7 = 5/7 * 7/4 = (5 * 7)/(7 * 4) = 5/4 = 1 1/4

г)

3 5/16 : 5/12 = 53/16 : 5/12 = 53/16 * 12/5 = (53 * 12)/(16 * 5) = (53 * 3)/(4 * 5) = 159/20 = 7 19/20

д)

3 9/25 : 5/9 = 84/25 : 5/9 = 84/25 * 9/5 = (84 * 9)/(25 * 5) = 756/125 = 6 6/125

е)

7/8 : 1/2 = 7/8 * 2/1 = (7 * 2)/(8 * 1) = 7/4 = 1 3/4

ж)

3/8 : 3/3 = 3/8 * 3/3 = 3/8 * 1 = 3/8

з)

5/5 : 2/5 = 1 : 2/5 = 1 * 5/2 = 5/2 = 2 1/2

и)

8/5 : 4/5 = 8/5 * 5/4 = (8 * 5)/(5 * 4) = 2

к)

3/7 : 1/2 = 3/7 * 2/1 = (3 * 2)/(7 * 1) = 6/7

л)

3 1/2 : 2/3 = 7/2 : 2/3 = 7/2 * 3/2 = (7 * 3)/(2 * 2) = 21/4 = 5 1/4

м)

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

н)

1 2/3 : 1 1/10 = 5/3 : 11/10 = 5/3 * 10/11 = (5 * 10)/(3 * 11) = 50/33 = 1 17/33

о)

10 1/3 : 2 2/3 = 31/3 : 8/3 = 31/3 * 3/8 = (31 * 3)/(3 * 8) = 31/8 = 3 7/8

п)

3 1/15 : 4/15 = 46/15 : 4/15 = 46/15 * 15/4 = (46 * 15)/(15 * 4) = 46/4 = 23/2 = 11 1/2

р)

4 3/4 : 3/3 = 19/4 : 1 = 19/4 * 1 = 19/4 = 4 3/4

с)

1 8/11 : 1/11 = 19/11 : 1/11 = 19/11 * 11/1 = 19

т)

0 5/18 : 1/18 = 5/18 : 1/18 = 5/18 * 18/1 = 5

у)

3 1/4 : 1/1 = 13/4 : 1 = 13/4 * 1 = 13/4 = 3 1/4

ф)

3 7/31 : 1 5/31 = 100/31 : 36/31 = 100/31 * 31/36 = 100/36 = 25/9 = 2 7/9