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Unit 7 · Tambah dan Tolak Pecahan
Unit 7

Tambah dan Tolak Pecahan

Sebotol jus ada 78 ℓ. Ayah menambah 58 ℓ, kemudian adik minum 68 ℓ.
Berapakah jus yang tinggal?

Tambah dan Tolak Pecahan
分数加减混合 = tambah dan tolak pecahan 一个算式里同时有加号和减号时,要按从左到右的次序一步一步算。分母不同时,先统一分母;答案要写成最简形式。 例子:3/5 + 1/5 − 2/5 = 4/5 − 2/5 = 2/5。 注意:“加进去”用加,“喝掉、用掉”用减。
adding and subtracting fractions = tambah dan tolak pecahan When a number sentence has both + and −, work from left to right one step at a time. With different denominators, use a common denominator first, and write the answer in simplest form. Example: 3/5 + 1/5 − 2/5 = 4/5 − 2/5 = 2/5. Watch out: adding more means plus; drinking or using up means minus.
Penyebut sama

Kira dari kiri ke kanan

78 + 58 − 68

= 128 − 68 = 68 = 34
从左到右 = dari kiri ke kanan 分母相同,先做左边的加法:七份加五份得十二份,就是八分之十二;再减六份,剩六份,就是八分之六。六和八都能被二整除,约简成四分之三。 例子:5/9 + 7/9 − 3/9 = 9/9 = 1。 注意:中间的八分之十二不用先化成带分数,可以直接继续算。
from left to right = dari kiri ke kanan Same denominators: do the addition on the left first, 7 + 5 = 12 eighths, then take away 6 eighths to leave 6/8. Both 6 and 8 divide by 2, so it simplifies to 3/4. Example: 5/9 + 7/9 − 3/9 = 9/9 = 1. Watch out: the middle answer 12/8 does not need changing to a mixed number before you carry on.
Nombor bercampur dan nombor bulat

Dua cara

329 + 49 − 3

Cara 1

369 − 3
= 69 = 23

Cara 2: susun semula

3 − 3 + 29 + 49
= 69 = 23
带分数与整数 = nombor bercampur dan nombor bulat 方法一照次序算:3又2/9 + 4/9 = 3又6/9,再减 3 剩 6/9 = 2/3。方法二把数连同它前面的符号一起换位置:先算 3 − 3 = 0,再加两个分数,一样得 2/3。 例子:2又1/5 + 3/5 − 2 = 4/5。 注意:换位置时,符号要跟着数一起移动。
mixed numbers and whole numbers = nombor bercampur dan nombor bulat Method 1 works in order: 3 2/9 + 4/9 = 3 6/9, and taking away 3 leaves 6/9 = 2/3. Method 2 moves each number together with its sign: 3 − 3 = 0 first, then add the two fractions, also 2/3. Example: 2 1/5 + 3/5 − 2 = 4/5. Watch out: when you move a number, its sign moves with it.
Penyebut berbeza

Tukar kepada perenam

12 − 16 + 23

0
13
12
1
= 36 − 16 + 46 = 66 = 1
异分母加减 = penyebut berbeza 二、六、三的最小公分母是六,都换成六分之几:3/6 − 1/6 + 4/6。在数线上,从六分之三往左一格到六分之二,再往右四格,刚好到一。 例子:1/4 + 1/2 − 3/8 = 2/8 + 4/8 − 3/8 = 3/8。 注意:答案刚好是整数时,直接写整数。
different denominators = penyebut berbeza The smallest common denominator of 2, 6 and 3 is 6, so write 3/6 − 1/6 + 4/6. On the number line, start at 3/6, go back one step to 2/6, then forward four steps to reach exactly 1. Example: 1/4 + 1/2 − 3/8 = 2/8 + 4/8 − 3/8 = 3/8. Watch out: when the answer is a whole number, just write the whole number.
Nombor bulat di depan

Pinjam 1 atau tukar kepada pecahan tak wajar

7 − 334 + 12

Cara 1: pinjam 1

644 − 334 = 314
314 + 24 = 334

Cara 2: tak wajar

284 − 154 + 24
= 154 = 334
整数开头 = nombor bulat di depan 方法一:把 7 写成 6又4/4,减去 3又3/4 得 3又1/4,再加 1/2(= 2/4)得 3又3/4。方法二:全部换成四分之几:28/4 − 15/4 + 2/4 = 15/4 = 3又3/4。两种方法答案相同。 例子:5 − 1又1/3 + 1/3 = 4。 注意:二分之一要先换成四分之二。
a whole number at the front = nombor bulat di depan Method 1: write 7 as 6 4/4, take away 3 3/4 to get 3 1/4, then add 1/2 (= 2/4) to get 3 3/4. Method 2: change everything into quarters: 28/4 − 15/4 + 2/4 = 15/4 = 3 3/4. Both give the same answer. Example: 5 − 1 1/3 + 1/3 = 4. Watch out: change 1/2 into 2/4 first.
Cari kesilapan

Ikut tertib dari kiri ke kanan

56 − 13 + 12

✔ Betul

56 − 26 = 36
36 + 36 = 1

✘ Salah

13 + 12 = 56
56 − 56 = 0
次序不能乱 = ikut tertib 算式 5/6 − 1/3 + 1/2 要从左到右:先减再加,得 1。错误的做法先把 1/3 和 1/2 加起来,再一起减掉,这样等于把本来要加的 1/2 也减掉了,所以得 0。 例子:3/4 − 1/4 + 1/4 = 3/4,不是 1/4。 注意:减号后面只有紧跟的那个数被减。
keep the order = ikut tertib 5/6 − 1/3 + 1/2 must be worked from left to right: subtract, then add, giving 1. The wrong way adds 1/3 and 1/2 first and takes them both away, so the 1/2 that should be added is subtracted instead, giving 0. Example: 3/4 − 1/4 + 1/4 = 3/4, not 1/4. Watch out: only the number right after a minus sign is taken away.
Semak cepat

45 + 35 − 25 = ?

同分母加减 = penyebut sama 分母都相同时,分母保持不变,只把分子按从左到右的次序计算:先做前面的加法,再做后面的减法。算完如果分子等于分母,就要写成整数。 例子:2/7 + 6/7 − 3/7 = 8/7 − 3/7 = 5/7。 注意:做完加法以后不要停下来,后面还有一个减法。
same denominators = penyebut sama When all the denominators are the same, keep the denominator and work the numerators in order from left to right: the addition first, then the subtraction. If the numerator ends up equal to the denominator, write a whole number. Example: 2/7 + 6/7 − 3/7 = 8/7 − 3/7 = 5/7. Watch out: do not stop after the addition; there is still a subtraction to do.
Cuba

213 − 34 + 16 = ?

三个不同分母 = tiga penyebut berbeza 先找三、四、六的最小公分母,把三个分数都换成这个分母。然后从左到右:先减,分数部分不够减就从整数借 1;再加。最后检查能不能约简。 例子:1又1/2 − 3/4 + 1/8 = 1又4/8 − 6/8 + 1/8 = 12/8 − 6/8 + 1/8 = 7/8。 注意:借 1 以后整数少 1,最后的分数也要约简到最简形式。
three different denominators = tiga penyebut berbeza Find the smallest common denominator of 3, 4 and 6 and change all three fractions to it. Then work from left to right: subtract first, borrowing 1 if the fraction part is too small, then add. Finally check whether it simplifies. Example: 1 1/2 − 3/4 + 1/8 = 1 4/8 − 6/8 + 1/8 = 12/8 − 6/8 + 1/8 = 7/8. Watch out: after borrowing, the whole number is 1 less, and simplify the final fraction.
Ringkasan

Syabas!

+ −

Kira dari kiri ke kanan. Samakan penyebut dan permudahkan jawapan.

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