Unit 10
Akal Pintar
23 daripada □ biji manik ialah manik merah.
Berapakah bilangan manik yang mungkin? Nyatakan beberapa nilai.
找可能的数量 = cari bilangan yang mungkin
珠子不能是半颗，所以“三分之二 daripada 某个数量”一定要得到整数。这道题要找出哪些数量可以做到，并说明理由。
例子：2/3 daripada 9 = 6，是整数，所以 9 可以。
注意：答案不止一个。
find the possible amounts = cari bilangan yang mungkin
There cannot be half a bead, so 2/3 of the amount must be a whole number. This puzzle asks which amounts work and why.
Example: 2/3 of 9 = 6, a whole number, so 9 works.
Watch out: there is more than one answer.
Petua
Mesti gandaan penyebut
Gandaan 3: 3, 6, 9, 12, 15, …
| □ | 3 | 6 | 9 | 12 | 15 |
|---|---|---|---|---|---|
| 23 daripada □ | 2 | 4 | 6 | 8 | 10 |
□ = 10 → 10 ÷ 3 = 3 baki 1 ✘
分母的倍数 = gandaan penyebut
先要把数量平均分成三份，所以数量必须能被三整除，也就是三的倍数：三、六、九、十二、十五……每一个都可以，而十这样的数分不平均，会得到小数，就不可以。
例子：3/4 daripada □ 为整数，□ 可以是 4、8、12……
注意：分数要先化成最简形式，再看分母；分子不影响判断。例如 2/4 daripada 2 = 1 也是整数，因为 2/4 = 1/2。
multiples of the denominator = gandaan penyebut
The amount must first be shared into 3 equal groups, so it must divide by 3; that is, it must be a multiple of 3: 3, 6, 9, 12, 15 and so on. A number like 10 does not share equally and fails.
Example: for 3/4 of □ to be whole, □ can be 4, 8, 12 and so on.
Watch out: simplify the fraction first, then only its denominator matters. For example, 2/4 of 2 = 1 is whole because 2/4 = 1/2.
Cuba
45 daripada □ guli ialah nombor bulat. Nilai □ yang mungkin ialah …
分母的倍数 = gandaan penyebut
要得到整数，数量必须能先平均分成“分母”那么多份，也就是说数量要是分母的倍数。逐个检查每个选项能不能被分母整除，能整除的才符合。
例子：3/7 daripada □ 是整数，□ 可以是 7、14、21……例如 3/7 daripada 14 = 6。
注意：分数已经是最简形式时，只要看分母；分子多大都不影响能不能平均分。
multiples of the denominator = gandaan penyebut
For a whole-number answer, the amount must first share equally into as many groups as the denominator, so it must be a multiple of the denominator. Check each choice to see whether it divides exactly by the denominator.
Example: for 3/7 of □ to be whole, □ can be 7, 14, 21 and so on; 3/7 of 14 = 6.
Watch out: when the fraction is in simplest form, only the denominator matters; the numerator does not.
Ringkasan