Unit 5
Cabar Minda
Siti melorek kertas petak di bawah. Kumar ada jalur yang sama besar, dibahagi kepada 4 bahagian sama besar.
Siti
Kumar

涂一样大 = lorek sama besar
两张纸一样大,可是分的格数不同。要让涂色部分一样大,先写出 Siti 涂色的分数,再把它化成分母是 4 的分数,分子就是 Kumar 要涂的格数。
例子:一张纸分 6 格涂 3 格,另一张分 2 格 → 3/6 = 1/2 → 涂 1 格。
注意:不能直接照抄 6 格,因为 Kumar 只有 4 格,每格比较大。
shade the same amount = lorek sama besar
The two papers are the same size but are cut into different numbers of parts. Write Siti's shaded fraction first, then change it into a fraction with denominator 4; its numerator tells how many parts Kumar shades.
Example: 3 of 6 parts shaded, other strip has 2 parts → 3/6 = 1/2 → shade 1 part.
Watch out: do not copy the number 6, because Kumar's parts are bigger.
Cara berfikir
Permudahkan dahulu
68 = ?4
6 ÷ 28 ÷ 2 = 34
Siti: 68
Kumar: 34
化成同样的分母 = jadikan penyebut sama
Siti 涂了 6/8。分子分母同时除以 2,得到最简分数 3/4,分母正好是 Kumar 的 4 格。所以 Kumar 涂 3 格,两边涂色部分一样大。
例子:10 格涂 2 格,另一张 5 格 → 2/10 = 1/5 → 涂 1 格。
注意:要先确认两张纸一样大,比较才公平。
make the denominators match = jadikan penyebut sama
Siti shaded 6/8. Dividing the top and bottom by 2 gives the simplest form 3/4, whose denominator matches Kumar's 4 parts. So Kumar shades 3 parts and both shaded areas are equal.
Example: 2 of 10 parts shaded, other strip has 5 parts → 2/10 = 1/5 → shade 1 part.
Watch out: the two papers must be the same size, or the comparison is not fair.
Jawab
Kertas Mei ada 8 petak, 4 berlorek. Jalur Ravi ada 4 bahagian. Berapakah bahagian yang perlu Ravi lorek supaya sama besar?
Mei
Ravi
Ravi 要涂几格 = berapa bahagian Ravi lorek
先写出 Mei 涂色的分数,再把它化成分母等于 Ravi 格数的等值分数,新的分子就是要涂的格数。也可以看图:纸的每一直列刚好对着长条的一格。
例子:长条 3 格涂 1 格,纸有 9 小格 → 1/3 = 3/9 → 纸上涂 3 格。
注意:长条的每一格比纸上的小格大,不要照抄 Mei 涂了几格。
how many parts Ravi shades = berapa bahagian Ravi lorek
Write Mei's shaded fraction, then change it into an equal fraction whose denominator is the number of parts in Ravi's strip. The new numerator is the number of parts to shade. In the picture, each column of the paper lines up with one part of the strip.
Example: 1 of 3 parts shaded, paper of 9 squares → 1/3 = 3/9 → shade 3 squares.
Watch out: each part of the strip is bigger than a small square, so do not copy Mei's count.
Cabar lagi
Kertas Aiman ada 10 petak, 4 berlorek. Jalur Lina ada 5 bahagian. Berapakah bahagian yang perlu Lina lorek?
Aiman
Lina
约分找格数 = permudahkan untuk cari bilangan bahagian
先写出 Aiman 涂色的分数。找一个能同时整除分子和分母的数,一起除,让分母变成 Lina 的格数 5,约分后的分子就是要找的格数。
例子:长条 4 格涂 3 格,纸有 8 小格 → 3/4 = 6/8 → 纸上涂 6 格。
注意:Lina 的一格等于 Aiman 的两小格,涂的格数不会和 Aiman 一样。
simplify to find the parts = permudahkan untuk cari bilangan bahagian
Write Aiman's shaded fraction first. Find a number that divides both the numerator and the denominator, and divide both so that the denominator becomes 5, the parts in Lina's strip. The new numerator is what you need.
Example: 3 of 4 parts shaded, paper of 8 squares → 3/4 = 6/8 → shade 6 squares.
Watch out: one part of Lina's strip equals two of Aiman's squares, so the two counts cannot be the same.
Ringkasan
Syabas!
68 = 34 → lorek 3
Permudahkan pecahan supaya penyebutnya sama dengan bilangan bahagian yang baharu.
Latihan tambahan →