);

9 contoh soal pengurangan pecahan campuran dan pembahasannya

Tentukan hasil pengurangan pecahan campuran berikut dalam bentuk paling sederhana.

Contoh soal 1

3
10
– 1
2
3
= …

Pembahasan

3
10
– 1
2
3
= (0 – 1) + (
3
10
2
3
)
= -1 +
(3 x 3) – (10 x 2)
10 x 3

= -1 +
9 – 20
30
= – 1 +
– 11
30

= – (1 +
11
30
) = – 1
11
30

Contoh soal 2

3
7
– 2
1
2
= …

Pembahasan

3
7
– 2
1
2
= (0 – 2) + (
3
7
1
2
)
= -2 +
(3 x 2) – (7 x 1)
7 x 2

= – 2 +
6 – 7
14
= -2 +
-1
14

= – (2 +
1
14
) = -2
1
14

Contoh soal 3

3
2
3
– 2
1
4
= …

Pembahasan

3
2
3
– 2
1
4
= (3 – 2) +
(2 x 4) – (3 x 1)
3 x 4

= 1 +
8 – 3
12

= 1 +
5
12
= 1
5
12

Contoh soal 4

5
2
5
– 3
3
12
= …

Pembahasan

5
2
5
– 3
3
12
= (5 – 3) +
(2 x 12) – (5 x 3)
5 x 12

= 2 +
24 – 15
60

= 2 +
9
60
= 2
9
60
= 2
3
20

Contoh soal 5

4
4
11
– 2
1
2
= …

Pembahasan

4
4
11
– 2
1
2
= (4 – 2) +
(4 x 2) – (11 x 1)
11 x 2

= 2 +
8 – 11
22
= 2 +
-3
22

= 1 + (1 –
3
22
)
= 1 + (
22
22
3
22
)
= 1 +
19
22
= 1
19
22

Contoh soal 6

2
1
3
– 1
1
5
= …

Pembahasan

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

= 1 +
5 – 3
15

= 1 +
2
15
= 1
2
15

Contoh soal 7

3
2
5
– 2
1
4
= …

Pembahasan

3
2
5
– 2
1
4
= (3 – 2) +
(2 x 4) – (5 x 1)
5 x 4

= 1 +
8 – 5
20

= 1 +
3
20
= 1
3
20

Contoh soal 8

2
2
3
– 1
2
3
+
5
4
= …

Pembahasan

2
2
3
– 1
2
3
+
5
4
= 2
2
3
– 1
2
3
+ 1
1
4

= (2 – 1 + 1) +
2
3
2
3
1
4

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

Contoh soal 9

8
5
18
+ (-4
7
18
) – 2
11
18
– (-
13
18
) = …

Pembahasan

8
5
18
+ (-4
7
18
) – 2
11
18
– (-
13
18
)
= 8
5
18
– 4
7
18
– 2
11
18
+
13
18

= (8 – 4 – 2 + 0) + (
5
18
7
18
11
18
+
13
18
)
= 2 +
5 – 7 – 11 + 13
18

= 2 +
0
18
= 2 + 0 = 2

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