12 Contoh soal penjumlahan pecahan campuran & pembahasan
Tentukan hasil penjumlahan pecahan campuran berikut dalam bentuk paling sederhana.
Contoh soal 1
4
5
+ 3 = …Pembahasan
24
5
+ 3 = (2 + 3) + 4
5
= 5 +
4
5
= 54
5
Contoh soal 2
1
5
+ 22
3
= …Pembahasan
1
5
+ 22
3
= 2 + 2
3
+ 1
5
= 2 +
(2 x 5) + (1 x 3)
5 x 3
= 2 +
13
15
= 213
15
Contoh soal 3
11
2
+ 5 = …Pembahasan
11
2
+ 5 = (1 + 5) + 1
2
= 6 +
1
2
= 61
2
Contoh soal 4
2
7
+ 31
6
= …Pembahasan
2
7
+ 31
6
= 3 + 2
7
+ 1
6
= 3 +
(2 x 6) + (7 x 1)
7 x 6
= 3 +
19
42
= 319
42
Contoh soal 5
12
5
+ 23
8
= …Pembahasan
12
5
+ 23
8
= (1 + 2) + 2
5
+ 3
8
= 3 +
(2 x 8) + (5 x 3)
5 x 8
= 3 +
16 + 15
40
= 3 +
31
40
= 331
40
Contoh soal 6
33
7
+ 52
4
= …Pembahasan
33
7
+ 52
4
= (3 + 5) + 3
7
+ 2
4
= 8 +
(3 x 4) + (7 x 2)
7 x 4
= 8 +
12 + 14
28
= 8 + 26
28
= 8
26
28
= 813
14
Contoh soal 7
41
3
+ 41
3
= …Pembahasan
41
3
+ 41
3
= (4 + 4) + 1
3
+ 1
3
= 8 +
2
3
= 82
3
Contoh soal 8
1
2
+ 51
3
= …Pembahasan
51
2
+ 51
3
= (5 + 5) + 1
2
+ 1
3
= 10 +
3 + 2
2 x 3
= 10 +
5
6
= 105
6
Contoh soal 9
72
5
+ 24
10
= …Pembahasan
72
5
+ 24
10
= (7 + 2) + 2
5
+ 4
10
= 9 +
20 + 20
50
= 9 +
40
50
= 940
50
= 94
5
Contoh soal 10
112
3
+ 41
4
= …Pembahasan
112
3
+ 41
4
= (11 + 4) + 2
3
+ 1
4
= 15 +
8 + 3
3 x 4
= 15 +
11
12
= 1511
12
Contoh soal 11
71
2
+ 83
4
– 51
6
= …Pembahasan
7
1
2
+ 83
4
– 51
6
= (7 + 8 – 5) + 1
2
+ 3
4
– 1
6
= 10 +
6 + 9 – 2
12
= 10 +
13
12
= 10 + 12
12
+ 1
12
= 10 + 1 +
1
12
= 111
12
Contoh soal 12
33
4
+ 21
4
– 81
2
= …Pembahasan
33
4
+ 21
4
– 81
2
= (3 + 2 – 8) + 3
4
+ 1
4
– 1
2
= -3 +
3 + 1 – 2
4
= -3 + 2
4
= -3 +
1
2
= -2 + (-1 + 1
2
)
= -2 + (-
2
2
+ 1
2
)
= -2 + (-
1
2
) = -2 – 1
2
= -21
2