);

12 Contoh soal penjumlahan pecahan campuran & pembahasan

Tentukan hasil penjumlahan pecahan campuran berikut dalam bentuk paling sederhana.

Contoh soal 1

2
4
5
+ 3 = …

Pembahasan

2
4
5
+ 3 = (2 + 3) +
4
5

= 5 +
4
5
= 5
4
5

Contoh soal 2

1
5
+ 2
2
3
= …

Pembahasan

1
5
+ 2
2
3
= 2 +
2
3
+
1
5

= 2 +
(2 x 5) + (1 x 3)
5 x 3

= 2 +
13
15
= 2
13
15

Contoh soal 3

1
1
2
+ 5 = …

Pembahasan

1
1
2
+ 5 = (1 + 5) +
1
2

= 6 +
1
2
= 6
1
2

Contoh soal 4

2
7
+ 3
1
6
= …

Pembahasan

2
7
+ 3
1
6
= 3 +
2
7
+
1
6

= 3 +
(2 x 6) + (7 x 1)
7 x 6

= 3 +
19
42
= 3
19
42

Contoh soal 5

1
2
5
+ 2
3
8
= …

Pembahasan

1
2
5
+ 2
3
8
= (1 + 2) +
2
5
+
3
8

= 3 +
(2 x 8) + (5 x 3)
5 x 8

= 3 +
16 + 15
40

= 3 +
31
40
= 3
31
40

Contoh soal 6

3
3
7
+ 5
2
4
= …

Pembahasan

3
3
7
+ 5
2
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
= 8
13
14

Contoh soal 7

4
1
3
+ 4
1
3
= …

Pembahasan

4
1
3
+ 4
1
3
= (4 + 4) +
1
3
+
1
3

= 8 +
2
3
= 8
2
3

Contoh soal 8

5
1
2
+ 5
1
3
= …

Pembahasan

5
1
2
+ 5
1
3
= (5 + 5) +
1
2
+
1
3

= 10 +
3 + 2
2 x 3

= 10 +
5
6
= 10
5
6

Contoh soal 9

7
2
5
+ 2
4
10
= …

Pembahasan

7
2
5
+ 2
4
10
= (7 + 2) +
2
5
+
4
10

= 9 +
20 + 20
50

= 9 +
40
50
= 9
40
50
= 9
4
5

Contoh soal 10

11
2
3
+ 4
1
4
= …

Pembahasan

11
2
3
+ 4
1
4
= (11 + 4) +
2
3
+
1
4

= 15 +
8 + 3
3 x 4

= 15 +
11
12
= 15
11
12

Contoh soal 11

7
1
2
+ 8
3
4
– 5
1
6
= …

Pembahasan

7
1
2
+ 8
3
4
– 5
1
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
= 11
1
12

Contoh soal 12

3
3
4
+ 2
1
4
– 8
1
2
= …

Pembahasan

3
3
4
+ 2
1
4
– 8
1
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
= -2
1
2

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