Unit 16
Tukar Pecahan dan Peratus
Sebuah kebun dibahagi kepada 100 petak sama besar.
46 petak ditanam cili. Berapa peratus kebun itu ditanam cili?

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%
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%
= 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%
= 25100 = 25%
720
7 × 520 × 5
= 35100 = 35%
= 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%
= 2005%
= 40%
320
320 × 100%
= 3 × 5%
= 15%
= 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
= 1120
8%
8100 = 8 ÷ 4100 ÷ 4
= 225
= 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.
Latihan tambahan →