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Unit 9 · Pecahan daripada Suatu Kuantiti
Unit 9

Pecahan daripada Suatu Kuantiti

Cikgu ada 20 batang pensel warna. Dia memberi 14 daripada pensel itu kepada Wei Jie.
Berapakah pensel yang diterima oleh Wei Jie?

Pecahan daripada Suatu Kuantiti
一个数量的几分之几 = pecahan daripada suatu kuantiti “20 的四分之一”是指把 20 平均分成 4 份,其中 1 份是多少。这个单元学用分组和乘法两种方法,求一个数量的几分之几,包括分子不是 1 和带分数的情况。 例子:12 的二分之一,就是把 12 平均分成两份,一份是 6。 注意:马来文的 daripada 在这里表示“的”,要用乘法。
a fraction of a quantity = pecahan daripada suatu kuantiti One quarter of 20 means sharing 20 equally into 4 groups and finding one group. In this unit we use grouping and multiplication to find a fraction of an amount, including fractions whose numerator is not 1 and mixed numbers. Example: one half of 12 means sharing 12 into two equal groups; one group is 6. Watch out: daripada here means of, and it tells us to multiply.
Cara 1

Bahagikan kepada kumpulan yang sama

14 daripada 20

1/4 daripada 20 = 20 ÷ 4 = 5
分组法 = cara kumpulan 分母四表示平均分成四组。二十支铅笔分成四组,每组五支。分子一表示取其中一组,所以是五支。 例子:1/3 daripada 18 → 分成三组,每组六个 → 6。 注意:每一组的数量要一样多。
the grouping method = cara kumpulan The denominator 4 means share into 4 equal groups. 20 pencils in 4 groups gives 5 in each group. The numerator 1 means take one group, so 5 pencils. Example: 1/3 of 18: 3 groups of 6, so 6. Watch out: every group must have the same number.
Cara 2

“daripada” bermaksud darab

14 × 20

14 daripada 20 = 14 × 20
= 204 = 5
用乘法 = gunakan darab 几分之几 daripada 一个数,就是用这个分数乘那个数:四分之一乘二十,等于四分之二十,也就是二十除以四,得五。和分组法的答案一样。 例子:1/6 daripada 30 = 30/6 = 5。 注意:分数乘整数,就是把整数乘分子、再除以分母。
use multiplication = gunakan darab A fraction daripada a number means the fraction times the number: 1/4 × 20 = 20/4, which is 20 ÷ 4 = 5, the same as the grouping answer. Example: 1/6 of 30 = 30/6 = 5. Watch out: a fraction times a whole number means multiply by the numerator and divide by the denominator.
Pengangka bukan 1

Bahagi, kemudian darab

38 daripada 40

38 × 40 = 3 × (40 ÷ 8) = 3 × 5 = 15
分子不是 1 = pengangka bukan 1 先用分母分组:四十分成八组,每组五个;分子三表示取三组,所以是三乘五等于十五。计算时可以先约简:四十和八约成五和一,再乘三。 例子:2/5 daripada 25 → 25 ÷ 5 = 5,5 × 2 = 10。 注意:先除后乘,数字比较小,比较好算。
numerator not 1 = pengangka bukan 1 Group by the denominator first: 40 in 8 groups gives 5 each; the numerator 3 means take 3 groups, so 3 × 5 = 15. When calculating, simplify first: 40 and 8 become 5 and 1, then multiply by 3. Example: 2/5 of 25: 25 ÷ 5 = 5 and 5 × 2 = 10. Watch out: dividing first keeps the numbers small.
Nombor bercampur

Dua cara

113 daripada 27

Cara 1

43 × 27
= 4 × 9 = 36

Cara 2

1 × 27 + 13 × 27
= 27 + 9 = 36
带分数 daripada = nombor bercampur daripada 方法一:把 1又1/3 换成假分数 4/3,再乘二十七:二十七除以三得九,九乘四得三十六。方法二:拆开来算,整数一的二十七是二十七,三分之一的二十七是九,加起来三十六。 例子:1又1/2 daripada 10 = 10 + 5 = 15。 注意:带分数大于一,所以答案会比原来的数大。
a mixed number of a quantity = nombor bercampur daripada Method 1: change 1 1/3 into 4/3 and multiply by 27: 27 ÷ 3 = 9 and 9 × 4 = 36. Method 2: split it up: 1 lot of 27 is 27 and 1/3 of 27 is 9, together 36. Example: 1 1/2 of 10 = 10 + 5 = 15. Watch out: a mixed number is more than 1, so the answer is bigger than the starting number.
Garis nombor

Setiap langkah ialah satu perempat

234 daripada 60

0
60
120
165
180
234
▼
114 × 60 = 11 × 15 = 165
数线法 = cara garis nombor 先求一份:六十的四分之一是十五,所以数线上每一格代表十五。2又3/4 等于 11/4,就是十一格,十一乘十五等于一百六十五。 例子:1又1/2 daripada 40:每格 20,三格 → 60。 注意:数线上的格数就是假分数的分子。
the number line method = cara garis nombor Find one part first: 1/4 of 60 is 15, so each step on the line is 15. 2 3/4 = 11/4, which is 11 steps, and 11 × 15 = 165. Example: 1 1/2 of 40: each step is 20, and 3 steps make 60. Watch out: the number of steps is the numerator of the improper fraction.
Semak cepat

25 daripada 45 = ?

先除后乘 = bahagi, kemudian darab 题目问一个数量的几分之几。分母告诉我们要平均分成几份:先用这个数除以分母,得到一份有多少;分子告诉我们要取几份:再用一份乘分子。 例子:3/5 daripada 20 → 20 ÷ 5 = 4,4 × 3 = 12。 注意:只除不乘,得到的只是一份;只乘不除,数字会比原来还大。
divide, then multiply = bahagi, kemudian darab The question asks for a fraction of an amount. The denominator tells how many equal groups to make, so divide the amount by it to find one group. The numerator tells how many groups to take, so multiply one group by it. Example: 3/5 of 20: 20 ÷ 5 = 4 and 4 × 3 = 12. Watch out: dividing only gives one group, and multiplying only gives more than you started with.
Nombor bercampur

116 daripada 48 = ?

带分数 = nombor bercampur 带分数 daripada 一个数,可以拆成两部分:整数部分就是几个这个数;分数部分用“先除后乘”求出;最后把两部分加起来。也可以把带分数换成假分数再乘。 例子:1又1/4 daripada 16 → 16 + (16 ÷ 4) = 16 + 4 = 20。 注意:整数部分和分数部分两部分都要算,最后记得相加;分数部分要先除后乘。
a mixed number = nombor bercampur A mixed number of an amount can be split into two parts: the whole number part is that many lots of the amount, and the fraction part is found by dividing then multiplying. Add the two parts. Or change to an improper fraction and multiply. Example: 1 1/4 of 16: 16 + (16 ÷ 4) = 16 + 4 = 20. Watch out: work out both the whole part and the fraction part and add them, dividing before multiplying for the fraction part.
Ringkasan

Syabas!

daripada = ×

Bahagi dengan penyebut, kemudian darab dengan pengangka.

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