Jawaban:
1. a. 2/3 dan 12/18 (senilai)
kpk 3 dan 18 = 18
2/3 x 6/6=12/18
b. 3/8 dan 15/18 (tidak senilai)
kpk 8 dan 18 = 72
3/8 × 9/9 = 27/72
15/18 x 4/4 = 60/72
2. a. 4/8 = 6/12 = 18/36 = 20/40 = 75/150 = 200/400
b. 3/5 = 9/15 = 21/35 =27/45 = 45/75
3. a. 14/21 = 14/21 : 7/7 = 2/3
b. 36/81 = 36/81 : 9/9 = 4/9
4. a. 2/3 ... 3/5
10/15 > 6/10
b. -3/7 ... - 2/5
- 15/35 < - 14/35
c. 5/6 ... 35/42
35/42 = 35/42
5. a. 9/2 = 4 1/2
b. 11/3 = 3 2/3
c. 126/5 = 25 1/5
6.a. 3 5/7 = 26/7
b. 6 8/9 = 62/9
c. 12 1/7 = 85/7
7. a. 5/8 = 5x125/8x125 = 625/1000 = 0,625
b. 4 2/3 = 14/3 = 4,6667
c. 6/25 = 6x4/25x4 -> 24/100 = 0,24
8. a. 2/15 = 13,3%
b. 2 3/4 = 11/4 -> 11x25/4x25 = 275/100 = 275%
c. 4/6 = 66,67%
9. a. 7/25 = 7/25 x 40/40 = 280/1000 = 0,28 ‰
b. 17/20 = 17/20 x 50/50 = 850/1000 = 0,85 ‰
c. 5 3/4 = 23/4 -> 23/4 x 250/250 = 5750/1000 = 5,75 ‰
9. a. 1,232323 = 122/99
a = 1,232323...
100 x a = 123,232323
maka
100a - a = 123,232323 - 1,232323
99a = 122
a = 122/99
b. 2,351351 = 2349/999
b = 2,351351...
1000 x a = 2.351,351
1000a - a = 2.351,351351 - 2,351351
999a = 2349
a = 2349/999
c. 9,88888 = 89/9
c = 9,88888...
10 x a = 98,8888
10a - a = 98,8888 - 9,8888
9a = 89
a = 89/9
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Jawaban:
1. a. 2/3 dan 12/18 (senilai)
kpk 3 dan 18 = 18
2/3 x 6/6=12/18
b. 3/8 dan 15/18 (tidak senilai)
kpk 8 dan 18 = 72
3/8 × 9/9 = 27/72
15/18 x 4/4 = 60/72
2. a. 4/8 = 6/12 = 18/36 = 20/40 = 75/150 = 200/400
b. 3/5 = 9/15 = 21/35 =27/45 = 45/75
3. a. 14/21 = 14/21 : 7/7 = 2/3
b. 36/81 = 36/81 : 9/9 = 4/9
4. a. 2/3 ... 3/5
10/15 > 6/10
b. -3/7 ... - 2/5
- 15/35 < - 14/35
c. 5/6 ... 35/42
35/42 = 35/42
5. a. 9/2 = 4 1/2
b. 11/3 = 3 2/3
c. 126/5 = 25 1/5
6.a. 3 5/7 = 26/7
b. 6 8/9 = 62/9
c. 12 1/7 = 85/7
7. a. 5/8 = 5x125/8x125 = 625/1000 = 0,625
b. 4 2/3 = 14/3 = 4,6667
c. 6/25 = 6x4/25x4 -> 24/100 = 0,24
8. a. 2/15 = 13,3%
b. 2 3/4 = 11/4 -> 11x25/4x25 = 275/100 = 275%
c. 4/6 = 66,67%
9. a. 7/25 = 7/25 x 40/40 = 280/1000 = 0,28 ‰
b. 17/20 = 17/20 x 50/50 = 850/1000 = 0,85 ‰
c. 5 3/4 = 23/4 -> 23/4 x 250/250 = 5750/1000 = 5,75 ‰
9. a. 1,232323 = 122/99
a = 1,232323...
100 x a = 123,232323
maka
100a - a = 123,232323 - 1,232323
99a = 122
a = 122/99
b. 2,351351 = 2349/999
b = 2,351351...
1000 x a = 2.351,351
maka
1000a - a = 2.351,351351 - 2,351351
999a = 2349
a = 2349/999
c. 9,88888 = 89/9
c = 9,88888...
10 x a = 98,8888
10a - a = 98,8888 - 9,8888
9a = 89
a = 89/9