Tukar Pecahan Tak Wajar dan Nombor Bercampur

三种分数 = tiga jenis pecahan 真分数（pecahan wajar）的分子比分母小，例如 2/3，比 1 小。假分数（pecahan tak wajar）的分子等于或大于分母，例如 7/4、9/9，等于或大于 1。带分数（nombor bercampur）由整数和真分数组成，例如 3又1/4。 例子：6/5 是假分数，因为 6 比 5 大。 注意：分子等于分母时，例如 9/9 = 1，也算假分数。

three kinds of fractions = tiga jenis pecahan In a proper fraction (pecahan wajar) the numerator is smaller than the denominator, such as 2/3, which is less than 1. In an improper fraction (pecahan tak wajar) the numerator is equal to or bigger than the denominator, such as 7/4 or 9/9, which is 1 or more. A mixed number (nombor bercampur) is a whole number with a proper fraction, such as 3 1/4. Example: 6/5 is improper because 6 is bigger than 5. Watch out: when the numerator equals the denominator, as in 9/9 = 1, it still counts as improper.

用图数份数 = kira bahagian dengan gambar 每个圆平均分成 5 份，每份是 1/5。2 个完整的圆有 5 + 5 = 10 份，再加上 4 份，一共 14 份，所以 2又4/5 = 14/5。 例子：1又2/3 → 3 份 + 2 份 = 5 份 → 5/3。 注意：分母不变，只是数出一共有几份。

count the parts in a picture = kira bahagian dengan gambar Each circle is cut into 5 equal parts, and each part is 1/5. Two whole circles have 5 + 5 = 10 parts; add 4 more parts to get 14 parts. So 2 4/5 = 14/5. Example: 1 2/3 is 3 parts + 2 parts = 5 parts, so 5/3. Watch out: the denominator stays the same; we only count the parts.

数线 = garis nombor 把 0 到 1 平均分成 6 格，每格就是 1/6。从 0 往右数到 2又5/6：到 1 是 6 格，到 2 是 12 格，再数 5 格，一共 17 格，所以 2又5/6 = 17/6。 例子：在分成 4 格的数线上，1又3/4 是第 7 格，等于 7/4。 注意：每个整数都比前一个多 6 格。

number line = garis nombor Split each whole on the line into 6 equal steps, so each step is 1/6. Count from 0 to 2 5/6: 6 steps to 1, 12 steps to 2, then 5 more, making 17 steps. So 2 5/6 = 17/6. Example: on a line split into quarters, 1 3/4 is the 7th step, so it equals 7/4. Watch out: each whole number is 6 steps further than the one before.

快速方法 = cara cepat 整数乘以分母，得到整数部分一共有几份；再加上分子；分母保持不变。3又2/7：3 × 7 = 21，21 + 2 = 23，所以是 23/7。 例子：4又1/3 → 4 × 3 + 1 = 13 → 13/3。 注意：是整数乘分母，不是整数乘分子。

quick method = cara cepat Multiply the whole number by the denominator to count the parts in the wholes, then add the numerator; the denominator stays the same. 3 2/7: 3 × 7 = 21, 21 + 2 = 23, so it is 23/7. Example: 4 1/3: 4 × 3 + 1 = 13, so 13/3. Watch out: multiply the whole number by the denominator, not by the numerator.

把份数合成整数 = kumpulkan menjadi satu 4 个 1/4 合起来就是 1。23/4 里可以凑成 5 个完整的 1（用掉 20 份），还剩 3 份，也就是 3/4，所以 23/4 = 5又3/4。 例子：7/3 → 1 个完整（3 份）+ 1 个完整（3 份）+ 1/3 → 2又1/3。 注意：剩下的分数一定比 1 小。

group the parts into wholes = kumpulkan menjadi satu Four quarters make 1. In 23/4 we can make 5 whole ones (using 20 parts) with 3 parts left, which is 3/4. So 23/4 = 5 3/4. Example: 7/3 is one whole (3 parts), another whole (3 parts) and 1/3, so 2 1/3. Watch out: the fraction left over must be less than 1.

用除法 = gunakan bahagi 分子除以分母：29 ÷ 8 = 3 余 5。商 3 是整数部分，余数 5 是新的分子，除数 8 仍然是分母，所以 29/8 = 3又5/8。 例子：22/5 → 22 ÷ 5 = 4 余 2 → 4又2/5。 注意：余数刚好是 0 时，答案就是整数，例如 24/8 = 3。

use division = gunakan bahagi Divide the numerator by the denominator: 29 ÷ 8 = 3 remainder 5. The quotient 3 is the whole number, the remainder 5 is the new numerator and the divisor 8 stays as the denominator, so 29/8 = 3 5/8. Example: 22/5: 22 ÷ 5 = 4 remainder 2, so 4 2/5. Watch out: when the remainder is 0, the answer is a whole number, for example 24/8 = 3.

找错 = cari kesilapan 有人把五分之十九换成带分数时弄错了，以为 19/5 = 5又4/5，这是错的。我们用乘法倒回去检查：5又4/5 = (5 × 5 + 4)/5 = 29/5，不是 19/5。正确是 19 ÷ 5 = 3 余 4，所以 19/5 = 3又4/5。 例子：13/4 = 3又1/4，而不是 4又1/4。 注意：换好以后，用乘法倒回去检查一次。

find the mistake = cari kesilapan Some people think 19/5 is 5 4/5, but check it: 5 4/5 = (5 × 5 + 4)/5 = 29/5, not 19/5. The correct way is 19 ÷ 5 = 3 remainder 4, so 19/5 = 3 4/5. Example: 13/4 = 3 1/4, not 4 1/4. Watch out: after changing, check by working backwards with multiplication.

带分数变假分数 = nombor bercampur kepada pecahan tak wajar 题目要把带分数改写成假分数。先想每个整数 1 里面有几份（看分母），用整数乘分母求出整数部分一共几份，再把分子的份数加上去，分母保持不变。 例子：2又5/9 → 2 × 9 = 18，18 + 5 = 23 → 23/9。 注意：整数要乘分母，不能把整数、分子、分母直接加起来。

mixed to improper = nombor bercampur kepada pecahan tak wajar The question asks you to rewrite a mixed number as an improper fraction. Work out how many parts are in each whole (the denominator), multiply to count the parts in all the wholes, then add the numerator. The denominator stays the same. Example: 2 5/9: 2 × 9 = 18, and 18 + 5 = 23, so 23/9. Watch out: multiply the whole number by the denominator; do not simply add the three numbers together.

假分数变带分数 = pecahan tak wajar kepada nombor bercampur 这题要把假分数写成带分数。用分子除以分母：商是整数部分，余数是新的分子，分母不变。算好后用“整数乘分母再加分子”倒回去，看看是不是原来的分子。 例子：31/6 → 31 ÷ 6 = 5 余 1 → 5又1/6。 注意：余数一定要比分母小；整数和分子的位置不要对调。

improper to mixed = pecahan tak wajar kepada nombor bercampur This question changes an improper fraction into a mixed number. Divide the numerator by the denominator: the quotient is the whole number, the remainder is the new numerator and the denominator does not change. Check by multiplying back. Example: 31/6: 31 ÷ 6 = 5 remainder 1, so 5 1/6. Watch out: the remainder must be smaller than the denominator, and do not swap the whole number with the numerator.