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Unit 16 · Tukar Pecahan dan Peratus
Unit 16

Tukar Pecahan dan Peratus

Sebuah kebun dibahagi kepada 100 petak sama besar.
46 petak ditanam cili. Berapa peratus kebun itu ditanam cili?

Tukar Pecahan dan Peratus
百分比 = peratus 百分比的意思是“每一百份里有几份”,用符号 % 表示。整块地平均分成一百格,种辣椒的有四十六格,就是一百分之四十六,也就是百分之四十六。这个单元学分数和百分比互相转换。 例子:一百格里涂了十五格 = 15/100 = 15%。 注意:要先确定整体是不是平均分成一百份。
percentage = peratus A percentage means how many parts out of every hundred, written with the sign %. The whole garden is split into 100 equal plots and 46 have chillies, so that is 46/100, or 46%. In this unit we change between fractions and percentages. Example: 15 squares shaded out of 100 = 15/100 = 15%. Watch out: first make sure the whole is split into 100 equal parts.
Petak seratus

46 daripada 100 = 46%

46 daripada 100 = 46%46/100 = 46%
百格图 = petak seratus 图里一共有一百个小格,涂色的有四十六格。分母是一百的分数可以直接写成百分比:分子是多少,就是百分之几。所以一百分之四十六就等于百分之四十六。 例子:29/100 = 29%。 注意:% 读作 peratus。
hundred grid = petak seratus The grid has 100 small squares and 46 are shaded. A fraction with denominator 100 can be written straight as a percentage: the numerator tells you the percent. So 46/100 = 46%. Example: 29/100 = 29%. Watch out: % is read as peratus.
Bahagian lain

Seluruh kebun = 100%

100% − 46% = ?

100% − 46% = 54%
剩下的部分 = bahagian lain 整块地就是全部,全部等于百分之一百。种了辣椒的占百分之四十六,没有种的就是一百减四十六,得百分之五十四。数一数白色的格子,刚好五十四格。 例子:涂了 18%,没涂的是 82%。 注意:两部分加起来一定是 100%。
the other part = bahagian lain The whole garden is 100%. Chillies take up 46%, so the part without chillies is 100% − 46% = 54%. Count the white squares: there are exactly 54. Example: if 18% is shaded, 82% is not. Watch out: the two parts always add up to 100%.
Persepuluh → peratus

610 = ?%

Darab pengangka dan penyebut dengan 10

610

Pecahan setara

610 = 6 × 1010 × 10
= 60100 = 60%
十分之几化百分比 = persepuluh ke peratus 先把分母变成一百。十乘十等于一百,所以分子也要乘十:十分之六等于一百分之六十,也就是百分之六十。在百格图里,每一行十格就是十分之一,涂满六行就是六十格。 例子:3/10 → 30/100 = 30%。 注意:分子和分母要乘同一个数。
tenths to percent = persepuluh ke peratus Make the denominator 100. 10 × 10 = 100, so multiply the numerator by 10 too: 6/10 = 60/100 = 60%. On the hundred grid each row of 10 is one tenth, so 6 full rows make 60 squares. Example: 3/10 → 30/100 = 30%. Watch out: multiply the numerator and denominator by the same number.
Perempat dan perdua puluh

Cara 1: jadikan penyebut 100

14 dan 720

14

1 × 254 × 25
= 25100 = 25%

720

7 × 520 × 5
= 35100 = 35%
化成分母一百 = jadikan penyebut seratus 想一想:分母乘几会等于一百?四乘二十五等于一百,所以四分之一的分子一也乘二十五,得一百分之二十五,就是百分之二十五。二十乘五等于一百,所以二十分之七变成一百分之三十五,就是百分之三十五。 例子:4/25 = 16/100 = 16%;1/2 = 50%。 注意:先找乘数,再同时乘分子和分母。
make the denominator 100 = jadikan penyebut seratus Ask: what times the denominator gives 100? 4 × 25 = 100, so 1/4 = 25/100 = 25%. 20 × 5 = 100, so 7/20 = 35/100 = 35%. Example: 4/25 = 16/100 = 16%; 1/2 = 50%. Watch out: find the multiplier first, then multiply both numerator and denominator.
Cara 2

Darab dengan 100%

25 × 100%

25

25 × 100%
= 2005%
= 40%

320

320 × 100%
= 3 × 5%
= 15%
乘以 100% = darab dengan 100% 方法二:把分数乘以 100%。100% 就是 1,乘以它大小不变,只是写成百分比。2/5 × 100% = 200/5 % = 40%。也可以先约简再乘:3/20 × 100%,100 和 20 约成 5 和 1,得 3 × 5% = 15%。两种方法(化成分母一百、乘以 100%)答案一样。 例子:17/50 × 100% = 17 × 2% = 34%。 注意:乘完要记得写上 % 符号;能约简时先约简,计算比较容易。
multiply by 100% = darab dengan 100% Method 2: multiply the fraction by 100%. 100% is the same as 1, so the size does not change; it is just written as a percentage. 2/5 × 100% = 200/5 % = 40%. You can simplify first: in 3/20 × 100%, 100 and 20 become 5 and 1, giving 3 × 5% = 15%. Both methods give the same answer. Example: 17/50 × 100% = 17 × 2% = 34%. Watch out: remember to write the % sign, and simplify first when you can to make the working easier.
Peratus → pecahan

Tulis per 100, kemudian permudahkan

55% dan 8%

55%

55100 = 55 ÷ 5100 ÷ 5
= 1120

8%

8100 = 8 ÷ 4100 ÷ 4
= 225
百分比化分数 = peratus ke pecahan 先把百分比写成分母是一百的分数:百分之五十五就是一百分之五十五。再化成最简分数,分子分母同时除以五,得二十分之十一。百分之八写成一百分之八,同时除以四,得二十五分之二。 例子:14% = 14/100 = 7/50。 注意:要一直约分到不能再约为止。
percent to fraction = peratus ke pecahan Write the percentage over 100: 55% = 55/100. Then simplify by dividing both by 5 to get 11/20. 8% = 8/100; divide both by 4 to get 2/25. Example: 14% = 14/100 = 7/50. Watch out: keep simplifying until you cannot divide any more.
Semak cepat

26% dalam bentuk termudah ialah …

化成最简分数 = bentuk termudah 百分比先写成分母是一百的分数(百分之几就是一百分之几),再找分子和分母的公因数,同时去除,一直约到不能再约为止。 例子:18% = 18/100 = 9/50;22% = 22/100 = 11/50。 注意:百分比的分母永远是一百,不是十;约分时分子和分母要除以同一个数。
simplest form = bentuk termudah First write the percentage as a fraction over 100 (a percent is that many hundredths). Then divide the numerator and denominator by a common factor, and keep going until you cannot simplify any more. Example: 18% = 18/100 = 9/50; 22% = 22/100 = 11/50. Watch out: a percentage is always out of 100, not 10, and divide the top and bottom by the same number.
Semak cepat

725 = ?%

二十五分之几 = per dua puluh lima 方法一:找出分母乘几会变成一百,分子也乘同一个数,得到的分子就是百分之几。方法二:直接乘以 100%,先把 100 和分母约简再乘。 例子:3/25 → 25 × 4 = 100,3 × 4 = 12 → 12/100 = 12%。 注意:分子不能照抄;分子也不能和分母相加。
twenty-fifths = per dua puluh lima Method 1: find what the denominator must be multiplied by to make 100 and multiply the numerator by the same number; the new numerator is the percentage. Method 2: multiply by 100%, simplifying 100 with the denominator first. Example: 3/25: 25 × 4 = 100 and 3 × 4 = 12, so 12/100 = 12%. Watch out: do not copy the numerator, and do not add it to the denominator.
Padankan

Pecahan dan peratus yang sama

配对 = padankan 左边每张分数卡,都用学过的方法化成百分比:想分母乘几等于一百,分子也乘同一个数;或者直接乘以 100%。算好以后,到右边找数值相同的百分比卡。 例子:1/5 → 5 × 20 = 100 → 20/100 = 20%;3/50 → 6/100 = 6%。 注意:不要只看数字像不像,分数卡上的分子常常不是百分比的数字,一定要先算。
match = padankan Change each fraction card on the left into a percentage with a method you know: find what the denominator times makes 100 and multiply the numerator too, or multiply by 100%. Then find the percentage card with the same value on the right. Example: 1/5: 5 × 20 = 100, so 20/100 = 20%; 3/50 = 6/100 = 6%. Watch out: do not just look for similar digits; the numerator is often not the percentage, so work it out first.
Ringkasan

Syabas!

46100 = 46%

Peratus bermaksud perseratus. Jadikan penyebut 100 untuk menukar pecahan kepada peratus.

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