Brüche addieren
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Aufgabenblatt als PDF

Aufgaben

Addiere die Bruchzahlen und kürze die Summe die sich ergibt. Das Ergebnis ist eine gemischte Zahl.

Aufgabe 1

1) 13 ⁄ 14 + 1 ⁄ 2   2) 7 ⁄ 18 + 7 ⁄ 9
 
3) 14 ⁄ 15 + 2 ⁄ 3   4) 11 ⁄ 14 + 5 ⁄ 7
 
5) 19 ⁄ 21 + 3 ⁄ 7  6) 17 ⁄ 18 + 1 ⁄ 2
 
7) 5 ⁄ 18 + 5 ⁄ 6  8) 11 ⁄ 28+ 6 ⁄ 7
 
9) 7 ⁄ 12 + 3 ⁄ 4  10) 19 ⁄ 20 + 3 ⁄ 4
 
11) 11 ⁄ 24 + 2 ⁄ 3  12) 17 ⁄ 24 + 7 ⁄ 8
 
13) 13 ⁄ 15 + 1 ⁄ 3  14) 19 ⁄ 28+ 3 ⁄ 4
 
15) 13 ⁄ 24 + 5 ⁄ 8  16) 25 ⁄ 26 + 7 ⁄ 13
 
17) 13 ⁄ 30+ 11 ⁄ 15  18) 29 ⁄ 30+ 1 ⁄ 6
 
19) 23 ⁄ 24 + 3 ⁄ 8  20) 7 ⁄ 10 + 4 ⁄ 5

Aufgabe 2

1) 11 ⁄ 24 + 11 ⁄ 12   2) 19 ⁄ 24 + 5 ⁄ 8
 
3) 13 ⁄ 14 + 4 ⁄ 7   4) 23 ⁄ 24 + 5 ⁄ 8
 
5) 11 ⁄ 12 + 1 ⁄ 3  6) 25 ⁄ 28+ 1 ⁄ 4
 
7) 11 ⁄ 28+ 3 ⁄ 4  8) 13 ⁄ 30+ 5 ⁄ 6
 
9) 13 ⁄ 18 + 4 ⁄ 9  10) 19 ⁄ 22 + 1 ⁄ 2
 
11) 13 ⁄ 22 + 10 ⁄ 11  12) 29 ⁄ 30+ 11 ⁄ 15
 
13) 13 ⁄ 24 + 7 ⁄ 12  14) 7 ⁄ 20 + 9 ⁄ 10
 
15) 16 ⁄ 21 + 2 ⁄ 3  16) 19 ⁄ 26 + 10 ⁄ 13
 
17) 19 ⁄ 22 + 7 ⁄ 11  18) 29 ⁄ 30+ 1 ⁄ 3
 
19) 19 ⁄ 24 + 3 ⁄ 8  20) 11 ⁄ 15 + 3 ⁄ 5

Aufgabe 3

1) 13 ⁄ 15 + 4 ⁄ 5   2) 19 ⁄ 20 + 4 ⁄ 5
 
3) 13 ⁄ 22 + 1 ⁄ 2   4) 27 ⁄ 28+ 3 ⁄ 4
 
5) 19 ⁄ 30+ 8 ⁄ 15  6) 5 ⁄ 24 + 11 ⁄ 12
 
7) 23 ⁄ 30+ 9 ⁄ 10  8) 11 ⁄ 24 + 7 ⁄ 8
 
9) 13 ⁄ 28+ 3 ⁄ 4  10) 19 ⁄ 30+ 1 ⁄ 2
 
11) 19 ⁄ 20 + 3 ⁄ 10  12) 19 ⁄ 30+ 2 ⁄ 3
 
13) 23 ⁄ 30+ 11 ⁄ 15  14) 23 ⁄ 30+ 1 ⁄ 3
 
15) 29 ⁄ 30+ 13 ⁄ 15  16) 7 ⁄ 24 + 5 ⁄ 6
 
17) 13 ⁄ 21 + 5 ⁄ 7  18) 23 ⁄ 26 + 8 ⁄ 13
 
19) 17 ⁄ 30+ 8 ⁄ 15  20) 11 ⁄ 12 + 1 ⁄ 4


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Aufgabe 1

1) 13 ⁄ 14 + 1 ⁄ 2 = 13 ⁄ 14 + 1 · 7 ⁄ 2 · 7 = 13 ⁄ 14 + 7 ⁄ 14 = 20 ⁄ 14 = 10 ⁄ 7 = 1 3 ⁄ 7
 
2) 7 ⁄ 18 + 7 ⁄ 9 = 7 ⁄ 18 + 7 · 2 ⁄ 9 · 2 = 7 ⁄ 18 + 14 ⁄ 18 = 21 ⁄ 18 = 7 ⁄ 6 = 1 1 ⁄ 6
 
3) 14 ⁄ 15 + 2 ⁄ 3 = 14 ⁄ 15 + 2 · 5 ⁄ 3 · 5 = 14 ⁄ 15 + 10 ⁄ 15 = 24 ⁄ 15 = 8 ⁄ 5 = 1 3 ⁄ 5
 
4) 11 ⁄ 14 + 5 ⁄ 7 = 11 ⁄ 14 + 5 · 2 ⁄ 7 · 2 = 11 ⁄ 14 + 10 ⁄ 14 = 21 ⁄ 14 = 3 ⁄ 2 = 1 1 ⁄ 2
 
5) 19 ⁄ 21 + 3 ⁄ 7 = 19 ⁄ 21 + 3 · 3 ⁄ 7 · 3 = 19 ⁄ 21 + 9 ⁄ 21 = 28 ⁄ 21 = 4 ⁄ 3 = 1 1 ⁄ 3
 
6) 17 ⁄ 18 + 1 ⁄ 2 = 17 ⁄ 18 + 1 · 9 ⁄ 2 · 9 = 17 ⁄ 18 + 9 ⁄ 18 = 26 ⁄ 18 = 13 ⁄ 9 = 1 4 ⁄ 9
 
7) 5 ⁄ 18 + 5 ⁄ 6 = 5 ⁄ 18 + 5 · 3 ⁄ 6 · 3 = 5 ⁄ 18 + 15 ⁄ 18 = 20 ⁄ 18 = 10 ⁄ 9 = 1 1 ⁄ 9
 
8) 11 ⁄ 28+ 6 ⁄ 7 = 11 ⁄ 28 + 6 · 4 ⁄ 7 · 4 = 11 ⁄ 28+ 24 ⁄ 28=35 ⁄ 28 = 5 ⁄ 4 = 11 ⁄ 4
 
9) 7 ⁄ 12 + 3 ⁄ 4 = 7 ⁄ 12 + 3 · 3 ⁄ 4 · 3 = 7 ⁄ 12 + 9 ⁄ 12 = 16 ⁄ 12 = 4 ⁄ 3 = 1 1 ⁄ 3
 
10) 19 ⁄ 20 + 3 ⁄ 4 = 19 ⁄ 20 + 3 · 5 ⁄ 4 · 5 = 19 ⁄ 20 + 15 ⁄ 20 = 34 ⁄ 20 = 17 ⁄ 10 = 1 7 ⁄ 10
 
11) 11 ⁄ 24 + 2 ⁄ 3 = 11 ⁄ 24 + 2 · 8 ⁄ 3 · 8 = 11 ⁄ 24 + 16 ⁄ 24 = 27 ⁄ 24 = 9 ⁄ 8 = 1 1 ⁄ 8
 
12) 17 ⁄ 24 + 7 ⁄ 8 = 17 ⁄ 24 + 7 · 3 ⁄ 8 · 3 = 17 ⁄ 24 + 21 ⁄ 24 = 38 ⁄ 24 = 19 ⁄ 12 = 1 7 ⁄ 12
 
13) 13 ⁄ 15 + 1 ⁄ 3 = 13 ⁄ 15 + 1 · 5 ⁄ 3 · 5 = 13 ⁄ 15 + 5 ⁄ 15 = 18 ⁄ 15 = 6 ⁄ 5 = 1 1 ⁄ 5
 
14) 19 ⁄ 28+ 3 ⁄ 4 = 19 ⁄ 28 + 3 · 7 ⁄ 4 · 7 = 19 ⁄ 28+ 21 ⁄ 28=40 ⁄ 28 = 10 ⁄ 7 = 13 ⁄ 7
 
15) 13 ⁄ 24 + 5 ⁄ 8 = 13 ⁄ 24 + 5 · 3 ⁄ 8 · 3 = 13 ⁄ 24 + 15 ⁄ 24 = 28 ⁄ 24 = 7 ⁄ 6 = 1 1 ⁄ 6
 
16) 25 ⁄ 26 + 7 ⁄ 13 = 25 ⁄ 26 + 7 · 2 ⁄ 13 · 2 = 25 ⁄ 26 + 14 ⁄ 26 = 39 ⁄ 26 = 3 ⁄ 2 = 1 1 ⁄ 2
 
17) 13 ⁄ 30+ 11 ⁄ 15 = 13 ⁄ 30 + 11 · 2 ⁄ 15 · 2 = 13 ⁄ 30+ 22 ⁄ 30=35 ⁄ 30 = 7 ⁄ 6 = 11 ⁄ 6
 
18) 29 ⁄ 30+ 1 ⁄ 6 = 29 ⁄ 30 + 1 · 5 ⁄ 6 · 5 = 29 ⁄ 30+ 5 ⁄ 30=34 ⁄ 30 = 17 ⁄ 15 = 12 ⁄ 15
 
19) 23 ⁄ 24 + 3 ⁄ 8 = 23 ⁄ 24 + 3 · 3 ⁄ 8 · 3 = 23 ⁄ 24 + 9 ⁄ 24 = 32 ⁄ 24 = 4 ⁄ 3 = 1 1 ⁄ 3
 
20) 7 ⁄ 10 + 4 ⁄ 5 = 7 ⁄ 10 + 4 · 2 ⁄ 5 · 2 = 7 ⁄ 10 + 8 ⁄ 10 = 15 ⁄ 10 = 3 ⁄ 2 = 1 1 ⁄ 2

Aufgabe 2

1) 11 ⁄ 24 + 11 ⁄ 12 = 11 ⁄ 24 + 11 · 2 ⁄ 12 · 2 = 11 ⁄ 24 + 22 ⁄ 24 = 33 ⁄ 24 = 11 ⁄ 8 = 1 3 ⁄ 8
 
2) 19 ⁄ 24 + 5 ⁄ 8 = 19 ⁄ 24 + 5 · 3 ⁄ 8 · 3 = 19 ⁄ 24 + 15 ⁄ 24 = 34 ⁄ 24 = 17 ⁄ 12 = 1 5 ⁄ 12
 
3) 13 ⁄ 14 + 4 ⁄ 7 = 13 ⁄ 14 + 4 · 2 ⁄ 7 · 2 = 13 ⁄ 14 + 8 ⁄ 14 = 21 ⁄ 14 = 3 ⁄ 2 = 1 1 ⁄ 2
 
4) 23 ⁄ 24 + 5 ⁄ 8 = 23 ⁄ 24 + 5 · 3 ⁄ 8 · 3 = 23 ⁄ 24 + 15 ⁄ 24 = 38 ⁄ 24 = 19 ⁄ 12 = 1 7 ⁄ 12
 
5) 11 ⁄ 12 + 1 ⁄ 3 = 11 ⁄ 12 + 1 · 4 ⁄ 3 · 4 = 11 ⁄ 12 + 4 ⁄ 12 = 15 ⁄ 12 = 5 ⁄ 4 = 1 1 ⁄ 4
 
6) 25 ⁄ 28+ 1 ⁄ 4 = 25 ⁄ 28 + 1 · 7 ⁄ 4 · 7 = 25 ⁄ 28+ 7 ⁄ 28=32 ⁄ 28 = 8 ⁄ 7 = 11 ⁄ 7
 
7) 11 ⁄ 28+ 3 ⁄ 4 = 11 ⁄ 28 + 3 · 7 ⁄ 4 · 7 = 11 ⁄ 28+ 21 ⁄ 28=32 ⁄ 28 = 8 ⁄ 7 = 11 ⁄ 7
 
8) 13 ⁄ 30+ 5 ⁄ 6 = 13 ⁄ 30 + 5 · 5 ⁄ 6 · 5 = 13 ⁄ 30+ 25 ⁄ 30=38 ⁄ 30 = 19 ⁄ 15 = 14 ⁄ 15
 
9) 13 ⁄ 18 + 4 ⁄ 9 = 13 ⁄ 18 + 4 · 2 ⁄ 9 · 2 = 13 ⁄ 18 + 8 ⁄ 18 = 22 ⁄ 18 = 11 ⁄ 9 = 1 2 ⁄ 9
 
10) 19 ⁄ 22 + 1 ⁄ 2 = 19 ⁄ 22 + 1 · 11 ⁄ 2 · 11 = 19 ⁄ 22 + 11 ⁄ 22 = 30 ⁄ 22 = 15 ⁄ 11 = 1 4 ⁄ 11
 
11) 13 ⁄ 22 + 10 ⁄ 11 = 13 ⁄ 22 + 10 · 2 ⁄ 11 · 2 = 13 ⁄ 22 + 20 ⁄ 22 = 33 ⁄ 22 = 3 ⁄ 2 = 1 1 ⁄ 2
 
12) 29 ⁄ 30+ 11 ⁄ 15 = 29 ⁄ 30 + 11 · 2 ⁄ 15 · 2 = 29 ⁄ 30+ 22 ⁄ 30=51 ⁄ 30 = 17 ⁄ 10 = 17 ⁄ 10
 
13) 13 ⁄ 24 + 7 ⁄ 12 = 13 ⁄ 24 + 7 · 2 ⁄ 12 · 2 = 13 ⁄ 24 + 14 ⁄ 24 = 27 ⁄ 24 = 9 ⁄ 8 = 1 1 ⁄ 8
 
14) 7 ⁄ 20 + 9 ⁄ 10 = 7 ⁄ 20 + 9 · 2 ⁄ 10 · 2 = 7 ⁄ 20 + 18 ⁄ 20 = 25 ⁄ 20 = 5 ⁄ 4 = 1 1 ⁄ 4
 
15) 16 ⁄ 21 + 2 ⁄ 3 = 16 ⁄ 21 + 2 · 7 ⁄ 3 · 7 = 16 ⁄ 21 + 14 ⁄ 21 = 30 ⁄ 21 = 10 ⁄ 7 = 1 3 ⁄ 7
 
16) 19 ⁄ 26 + 10 ⁄ 13 = 19 ⁄ 26 + 10 · 2 ⁄ 13 · 2 = 19 ⁄ 26 + 20 ⁄ 26 = 39 ⁄ 26 = 3 ⁄ 2 = 1 1 ⁄ 2
 
17) 19 ⁄ 22 + 7 ⁄ 11 = 19 ⁄ 22 + 7 · 2 ⁄ 11 · 2 = 19 ⁄ 22 + 14 ⁄ 22 = 33 ⁄ 22 = 3 ⁄ 2 = 1 1 ⁄ 2
 
18) 29 ⁄ 30+ 1 ⁄ 3 = 29 ⁄ 30 + 1 · 10 ⁄ 3 · 10 = 29 ⁄ 30+ 10 ⁄ 30=39 ⁄ 30 = 13 ⁄ 10 = 13 ⁄ 10
 
19) 19 ⁄ 24 + 3 ⁄ 8 = 19 ⁄ 24 + 3 · 3 ⁄ 8 · 3 = 19 ⁄ 24 + 9 ⁄ 24 = 28 ⁄ 24 = 7 ⁄ 6 = 1 1 ⁄ 6
 
20) 11 ⁄ 15 + 3 ⁄ 5 = 11 ⁄ 15 + 3 · 3 ⁄ 5 · 3 = 11 ⁄ 15 + 9 ⁄ 15 = 20 ⁄ 15 = 4 ⁄ 3 = 1 1 ⁄ 3



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Aufgabe 3

1) 13 ⁄ 15 + 4 ⁄ 5 = 13 ⁄ 15 + 4 · 3 ⁄ 5 · 3 = 13 ⁄ 15 + 12 ⁄ 15 = 25 ⁄ 15 = 5 ⁄ 3 = 1 2 ⁄ 3
 
2) 19 ⁄ 20 + 4 ⁄ 5 = 19 ⁄ 20 + 4 · 4 ⁄ 5 · 4 = 19 ⁄ 20 + 16 ⁄ 20 = 35 ⁄ 20 = 7 ⁄ 4 = 1 3 ⁄ 4
 
3) 13 ⁄ 22 + 1 ⁄ 2 = 13 ⁄ 22 + 1 · 11 ⁄ 2 · 11 = 13 ⁄ 22 + 11 ⁄ 22 = 24 ⁄ 22 = 12 ⁄ 11 = 1 1 ⁄ 11
 
4) 27 ⁄ 28+ 3 ⁄ 4 = 27 ⁄ 28 + 3 · 7 ⁄ 4 · 7 = 27 ⁄ 28+ 21 ⁄ 28=48 ⁄ 28 = 12 ⁄ 7 = 15 ⁄ 7
 
5) 19 ⁄ 30+ 8 ⁄ 15 = 19 ⁄ 30 + 8 · 2 ⁄ 15 · 2 = 19 ⁄ 30+ 16 ⁄ 30=35 ⁄ 30 = 7 ⁄ 6 = 11 ⁄ 6
 
6) 5 ⁄ 24 + 11 ⁄ 12 = 5 ⁄ 24 + 11 · 2 ⁄ 12 · 2 = 5 ⁄ 24 + 22 ⁄ 24 = 27 ⁄ 24 = 9 ⁄ 8 = 1 1 ⁄ 8
 
7) 23 ⁄ 30+ 9 ⁄ 10 = 23 ⁄ 30 + 9 · 3 ⁄ 10 · 3 = 23 ⁄ 30+ 27 ⁄ 30=50 ⁄ 30 = 5 ⁄ 3 = 12 ⁄ 3
 
8) 11 ⁄ 24 + 7 ⁄ 8 = 11 ⁄ 24 + 7 · 3 ⁄ 8 · 3 = 11 ⁄ 24 + 21 ⁄ 24 = 32 ⁄ 24 = 4 ⁄ 3 = 1 1 ⁄ 3
 
9) 13 ⁄ 28+ 3 ⁄ 4 = 13 ⁄ 28 + 3 · 7 ⁄ 4 · 7 = 13 ⁄ 28+ 21 ⁄ 28=34 ⁄ 28 = 17 ⁄ 14 = 13 ⁄ 14
 
10) 19 ⁄ 30+ 1 ⁄ 2 = 19 ⁄ 30 + 1 · 15 ⁄ 2 · 15 = 19 ⁄ 30+ 15 ⁄ 30=34 ⁄ 30 = 17 ⁄ 15 = 12 ⁄ 15
 
11) 19 ⁄ 20 + 3 ⁄ 10 = 19 ⁄ 20 + 3 · 2 ⁄ 10 · 2 = 19 ⁄ 20 + 6 ⁄ 20 = 25 ⁄ 20 = 5 ⁄ 4 = 1 1 ⁄ 4
 
12) 19 ⁄ 30+ 2 ⁄ 3 = 19 ⁄ 30 + 2 · 10 ⁄ 3 · 10 = 19 ⁄ 30+ 20 ⁄ 30=39 ⁄ 30 = 13 ⁄ 10 = 13 ⁄ 10
 
13) 23 ⁄ 30+ 11 ⁄ 15 = 23 ⁄ 30 + 11 · 2 ⁄ 15 · 2 = 23 ⁄ 30+ 22 ⁄ 30=45 ⁄ 30 = 3 ⁄ 2 = 11 ⁄ 2
 
14) 23 ⁄ 30+ 1 ⁄ 3 = 23 ⁄ 30 + 1 · 10 ⁄ 3 · 10 = 23 ⁄ 30+ 10 ⁄ 30=33 ⁄ 30 = 11 ⁄ 10 = 11 ⁄ 10
 
15) 29 ⁄ 30+ 13 ⁄ 15 = 29 ⁄ 30 + 13 · 2 ⁄ 15 · 2 = 29 ⁄ 30+ 26 ⁄ 30=55 ⁄ 30 = 11 ⁄ 6 = 15 ⁄ 6
 
16) 7 ⁄ 24 + 5 ⁄ 6 = 7 ⁄ 24 + 5 · 4 ⁄ 6 · 4 = 7 ⁄ 24 + 20 ⁄ 24 = 27 ⁄ 24 = 9 ⁄ 8 = 1 1 ⁄ 8
 
17) 13 ⁄ 21 + 5 ⁄ 7 = 13 ⁄ 21 + 5 · 3 ⁄ 7 · 3 = 13 ⁄ 21 + 15 ⁄ 21 = 28 ⁄ 21 = 4 ⁄ 3 = 1 1 ⁄ 3
 
18) 23 ⁄ 26 + 8 ⁄ 13 = 23 ⁄ 26 + 8 · 2 ⁄ 13 · 2 = 23 ⁄ 26 + 16 ⁄ 26 = 39 ⁄ 26 = 3 ⁄ 2 = 1 1 ⁄ 2
 
19) 17 ⁄ 30+ 8 ⁄ 15 = 17 ⁄ 30 + 8 · 2 ⁄ 15 · 2 = 17 ⁄ 30+ 16 ⁄ 30=33 ⁄ 30 = 11 ⁄ 10 = 11 ⁄ 10
 
20) 11 ⁄ 12 + 1 ⁄ 4 = 11 ⁄ 12 + 1 · 3 ⁄ 4 · 3 = 11 ⁄ 12 + 3 ⁄ 12 = 14 ⁄ 12 = 7 ⁄ 6 = 1 1 ⁄ 6