9 contoh soal pengurangan pecahan campuran dan pembahasannya
Tentukan hasil pengurangan pecahan campuran berikut dalam bentuk paling sederhana.
Contoh soal 1
3
10
– 12
3
= …Pembahasan
3
10
– 12
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
) = – 111
30
Contoh soal 2
3
7
– 21
2
= …Pembahasan
3
7
– 21
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
) = -21
14
Contoh soal 3
32
3
– 21
4
= …Pembahasan
32
3
– 21
4
= (3 – 2) + (2 x 4) – (3 x 1)
3 x 4
= 1 +
8 – 3
12
= 1 +
5
12
= 15
12
Contoh soal 4
52
5
– 33
12
= …Pembahasan
2
5
– 33
12
= (5 – 3) + (2 x 12) – (5 x 3)
5 x 12
= 2 +
24 – 15
60
= 2 +
9
60
= 29
60
= 23
20
Contoh soal 5
44
11
– 21
2
= …Pembahasan
44
11
– 21
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
= 119
22
Contoh soal 6
21
3
– 11
5
= …Pembahasan
21
3
– 11
5
= (2 – 1) + (1 x 5) – (3 x 1)
3 x 5
= 1 +
5 – 3
15
= 1 +
2
15
= 12
15
Contoh soal 7
32
5
– 21
4
= …Pembahasan
32
5
– 21
4
= (3 – 2) + (2 x 4) – (5 x 1)
5 x 4
= 1 +
8 – 5
20
= 1 +
3
20
= 13
20
Contoh soal 8
2
3
– 12
3
+ 5
4
= …Pembahasan
22
3
– 12
3
+ 5
4
= 22
3
– 12
3
+ 11
4
= (2 – 1 + 1) +
2
3
– 2
3
– 1
4
= 1 + (-
1
4
)
=
4
4
– 1
4
= 3
4
Contoh soal 9
85
18
+ (-47
18
) – 211
18
– (-13
18
) = …Pembahasan
85
18
+ (-47
18
) – 211
18
– (-13
18
)
= 8
5
18
– 47
18
– 211
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