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Unit 7 · Tambah Pecahan
Unit 7

Tambah Pecahan

Mei Ling menuang 2 per 7 jag jus ke dalam gelas, kemudian 3 per 7 jag lagi.
Berapakah bahagian jag yang dituang semuanya? Mari kita tambah pecahan.

Tambah Pecahan
tambah pecahan = 分数加法 把两个分数合起来就是分数加法。这一课先学分母相同的加法，再学分母不同的加法，最后还要把答案约成最简分数。 例子：1/7 杯米加 3/7 杯米，一共 4/7 杯。 注意：分母表示整体平分成几份，相加时不会改变。
tambah pecahan = adding fractions Putting two fractions together is adding fractions. In this unit we first add fractions with the same denominator, then fractions with different denominators, and we always give the answer in simplest form. Example: 1/7 cup of rice and 3/7 cup of rice make 4/7 cup. Watch out: the denominator tells how many equal parts the whole has; it does not change when you add.
Penyebut sama

Jumlahkan pengangka sahaja

2 per 7 + 3 per 7 = ?

2/73/75/7+=
2 per 7 + 3 per 7 = 2 + 3 per 7 = 5 per 7
penyebut sama = 分母相同 分母相同时，每一份一样大，只要把分子相加，分母照写。2 份加 3 份是 5 份，每份都是七分之一，所以得 5/7。 例子：1/8 + 5/8 = 6/8，再约成 3/4。 注意：不可以把分母也相加，2/7 + 3/7 不是 5/14。
penyebut sama = same denominator When the denominators are the same, every part is the same size, so add the numerators and keep the denominator. Two parts and three parts make five parts, and each part is one seventh, so the sum is 5/7. Example: 1/8 + 5/8 = 6/8, which simplifies to 3/4. Watch out: never add the denominators too; 2/7 + 3/7 is not 5/14.
Bentuk termudah

Permudahkan jawapan

3 per 8 + 1 per 8 = ?

+=
3 per 8 + 1 per 8 = 4 per 8 = 4 ÷ 4 per 8 ÷ 4 = 1 per 2
bentuk termudah = 最简分数 先把分子相加：3/8 + 1/8 = 4/8。4 和 8 都能被 4 整除，分子分母同时除以 4，得 1/2。答案要写成最简分数。 例子：2/10 + 2/10 = 4/10，同时除以 2 得 2/5。 注意：分子分母要除以同一个数，只除一边就变成另一个分数了。
bentuk termudah = simplest form First add the numerators: 3/8 + 1/8 = 4/8. Both 4 and 8 can be divided by 4, so divide the numerator and the denominator by 4 to get 1/2. Answers are written in simplest form. Example: 2/10 + 2/10 = 4/10; divide both by 2 to get 2/5. Watch out: divide the top and the bottom by the same number, or you get a different fraction.
Cuba kira

2 per 9 + 1 per 9 = ? (bentuk termudah)

2 per 9
1 per 9
约分 = permudahkan 先看分母是否相同，相同就只加分子，分母不动。加好以后，找一个能同时整除分子和分母的数，一起除，直到不能再约为止。 例子：1/10 + 5/10 = 6/10，分子分母都除以 2，得 3/5。 注意：约分时只除分子、分母不动，分数的大小就变了。
permudahkan = simplify Check the denominators first. If they are the same, add only the numerators and keep the denominator. Then find a number that divides both the numerator and the denominator, and divide both until you cannot simplify any more. Example: 1/10 + 5/10 = 6/10; divide both by 2 to get 3/5. Watch out: dividing only the numerator and leaving the denominator unchanged gives a fraction of a different size.
Garis nombor

Cari pecahan yang hilang

1 per 7 + ? = 5 per 7

0
1 per 7
2 per 7
3 per 7
4 per 7
5 per 7
6 per 7
7 per 7

1 per 7 → 2 per 7 → 3 per 7 → 4 per 7 → 5 per 7 : 4 lompatan

1 per 7 + 4 per 7 = 5 per 7

Pasangan lain: 2 per 7 + 3 per 7 = 5 per 7

求加数 = cari pecahan yang hilang 在数线上从 1/7 出发，每次跳七分之一，跳到 5/7 一共跳了 4 次，所以缺的是 4/7。也可以用分子算：5 − 1 = 4，分母不变。 例子：3/9 + □ = 8/9，8 − 3 = 5，□ = 5/9。 注意：缺的分数分母和题目一样，不要写成 4/14。
cari pecahan yang hilang = find the missing fraction On the number line, start at 1/7 and jump one seventh at a time. Reaching 5/7 takes 4 jumps, so the missing fraction is 4/7. You can also use the numerators: 5 − 1 = 4, and the denominator stays the same. Example: 3/9 + □ = 8/9; 8 − 3 = 5, so □ = 5/9. Watch out: the missing fraction has the same denominator, so do not write 4/14.
Penyebut tak sama

Dua cara

1 per 4 + 1 per 8 = ?

Cara 1: lipat kertas

→
1 per 4 = 2 per 8

Cara 2: carta pecahan

1 per 4
2 per 8
3 per 8
1 per 4 + 1 per 8 = 2 per 8 + 1 per 8 = 3 per 8
penyebut tak sama = 分母不同 分母不同时，每一份大小不一样，不能直接加。先把 1/4 变成分母是 8 的等值分数：对折一次，或看分数图，1/4 和 2/8 一样长。2/8 + 1/8 = 3/8。 例子：1/5 + 1/10 = 2/10 + 1/10 = 3/10。 注意：要换的是分母较小的那个分数。
penyebut tak sama = different denominators With different denominators the parts are not the same size, so we cannot add straight away. First change 1/4 into an equal fraction with denominator 8: fold it once more, or use the fraction chart, where 1/4 is as long as 2/8. Then 2/8 + 1/8 = 3/8. Example: 1/5 + 1/10 = 2/10 + 1/10 = 3/10. Watch out: change the fraction with the smaller denominator.
Pecahan setara

Darab untuk samakan penyebut

1 per 10 + 2 per 5 = ?

1 per 10 + 2 per 5 = 1 per 10 + 2 × 2 per 5 × 2
= 1 per 10 + 4 per 10 = 5 per 10
= 5 ÷ 5 per 10 ÷ 5 = 1 per 2
等值分数 = pecahan setara 5 × 2 = 10，所以把 2/5 的分子和分母都乘 2，变成 4/10，分母就相同了。相加得 5/10，再同时除以 5，得 1/2。 例子：7/10 + 1/5：1/5 的分子分母乘 2 得 2/10，相加得 9/10。 注意：分子也要乘，不然 2/5 会变成 2/10，大小就不对了。
pecahan setara = equivalent fraction Since 5 × 2 = 10, multiply both the numerator and the denominator of 2/5 by 2 to get 4/10, which matches 1/10. Then 1/10 + 4/10 = 5/10, and dividing both by 5 gives 1/2. Example: 7/10 + 1/5: multiply the top and bottom of 1/5 by 2 to get 2/10; 7/10 + 2/10 = 9/10. Watch out: multiply the numerator too, or 2/5 turns into 2/10, which is a smaller amount.
Cuba kira

1 per 3 + 5 per 9 = ?

1 per 3
5 per 9
乘法求等值分数 = darab untuk pecahan setara 3 和 9 不一样，先问：3 乘几等于 9？把分母较小的分数，分子和分母都乘这个数，分母就相同了，然后只加分子。 例子：1/2 + 4/10：2 × 5 = 10，1/2 = 5/10，5/10 + 4/10 = 9/10。 注意：只乘分母、忘了乘分子，答案会偏小。
darab untuk pecahan setara = multiply to find an equivalent fraction The denominators 3 and 9 are different, so ask: 3 times what makes 9? Multiply the top and bottom of the fraction with the smaller denominator by that number, then add only the numerators. Example: 1/2 + 4/10: 2 × 5 = 10, so 1/2 = 5/10, and 5/10 + 4/10 = 9/10. Watch out: multiplying only the denominator and forgetting the numerator makes the answer too small.
Cari kesilapan

Ravi menulis:
1 per 3 + 1 per 9 = 1 per 9 + 1 per 9 = 2 per 9
Apakah jawapan yang betul?

找错 = cari kesilapan Ravi 把 1/3 的分母乘了 3 变成 9，可是分子没有乘 3，所以他写的分数比 1/3 小了很多。检查方法：把换好的分数和原来的比一比，一样大才对。 例子：1/2 换成十分之几：1 × 5 = 5，2 × 5 = 10，所以 1/2 = 5/10，不是 1/10。 注意：答案比其中一个加数还小，就一定算错了。
cari kesilapan = find the mistake Ravi multiplied the denominator of 1/3 by 3 to get 9, but he did not multiply the numerator by 3, so his new fraction is too small. Always check that the new fraction is the same size as the old one. Example: change 1/2 into tenths: 1 × 5 = 5 and 2 × 5 = 10, so 1/2 = 5/10, not 1/10. Watch out: a sum smaller than one of its parts must be wrong.
Padankan

Jumlah dalam bentuk termudah

配对 = padankan 每一题先看分母：相同就直接加分子；不同就把分母较小的分数变成等值分数。加好以后检查能不能约分，约到最简再去找配对的答案。 例子：1/7 + 5/7 = 6/7，已经是最简分数。 注意：第二题要先把 3/5 换成十分之几，分子和分母都要乘 2。
padankan = match For each sum, look at the denominators first. If they are the same, add the numerators; if not, turn the fraction with the smaller denominator into an equivalent fraction. After adding, check whether it can be simplified, then find the matching answer. Example: 1/7 + 5/7 = 6/7, which is already in simplest form. Watch out: in the second sum, change 3/5 into tenths first by multiplying both the numerator and the denominator by 2.
Ringkasan

Syabas!

Samakan penyebut → tambah pengangka → permudahkan

Jika penyebut sama, jumlahkan pengangka sahaja. Jika penyebut tidak sama, cari pecahan setara dahulu. Tulis jawapan dalam bentuk termudah.

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