7.4  Breuken optellen en aftrekken >
1
4
2
5
a

1 2 is 5 tienden ; 1 5 is 2 tienden

1 2 + 1 5 = 5 10 + 2 10 = 7 10

b

In 14 stukjes.

c

1 2 is 7 veertienden ; 1 7 is 2 veertienden

1 2 + 1 7 = 7 14 + 2 14 = 9 14

d

In 6 stukjes.

3
6

2 3 + 1 12 = 8 12 + 1 12 = 9 12 = 3 4

p 5 + 1 2 = 2 p 10 + 5 10 = 2 p + 5 10

3 7 1 4 = 12 28 7 28 = 5 28

1 5 1 7 = 7 35 5 35 = 2 35

1 2 1 4 + 1 5 = 10 20 5 20 + 4 20 = 9 20

4 5 3 7 = 28 35 15 35 = 13 35

2 5 + 1 2 = 4 10 + 5 10 = 9 10

3 5 q 7 = 21 35 5 q 35 = 21 5 q 35

4 5 + 1 2 = 8 10 + 5 10 = 13 10 = 1 3 10

1s
4s

1 2

1 20

1 6

1 30

1 12

1 9900

2s
5s
a

1 2 + 1 3 + 1 12 = 6 12 + 4 12 + 1 12 = 11 12 . Klopt.

b

1 4 + 1 8

1 2 + 1 5 + 1 10

1 3 + 1 9

1 2 + 1 5 + 1 30

3s
6s

8 10 + 5 10 = 13 10 = 1 3 10

7 35 5 35 = 2 35

2 p 10 + 5 10 = 2 p + 5 10

7 35 5 q 35 = 7 5 q 35

2 p 10 + 5 p 10 = 7 p 10

7 q 35 5 q 35 = 2 q 35

7

a 3 + a 9 = 3 a 9 + a 9 = 4 a 9

3 a + 9 a = 12 a

5 a 6 + a 9 = 15 a 18 + 2 a 18 = 17 a 18

3 a + 2 5 = 15 5 a + 2 a 5 a = 15 + 2 a 5 a

a 3 2 a 9 = 3 a 9 2 a 9 = a 9

3 a a 1 2 = 3 1 2 = 2 1 2

4 a 3 5 a 9 = 12 a 9 5 a 9 = 7 a 9

2 7 1 a = 2 a 7 a 7 7 a = 2 a 7 7 a

8
9

3 4

4 3

3 8

5 8

8 7

3 16

8s
9s
a

1 8 1 32 = 4 32 1 32 = 3 32

b

1 4 + 1 16 + 1 64 + 1 256 = 64 256 + 16 256 + 4 256 + 1 256 = 85 256

1 2 + 1 8 + 1 32 = 16 32 + 4 32 + 1 32 = 21 32