6.2%转换为分数

章节大纲

• 选择节常规

  折叠 展开

  常规

  全部折叠 展开全部

  • 选择活动新闻通告

    

    新闻通告 讨论区
• 选择节%转换为分数

  折叠 展开

  %转换为分数

  

  [Figure 1]

  播放段落

  The gauge on Chantal’s weather monitor reads 34% humidity. She wants to know what this percent is as a fraction in  simplest form . How would she write it that way?
  ::尚塔尔天气监测仪的仪表显示的是34 % 湿度。 她想知道这个百分率以最简单的形式是多少。 她怎么写成这样呢?

  播放段落

  In this concept, you will learn to write percents as fractions in simplest form.
  ::在此概念中, 您将学习以最简单的形式 将百分比写成分数 。

  播放段落

  Writing Percents as Fractions
  ::将百分比写入分数

  播放段落

  Percents can be written as ratios. One of the ways of writing a ratio is to write it in fraction form with 100 as the  denominator . However, some fractions can be simplified. Therefore, you can write percents as fractions and  reduce  them to simplest form.
  ::百分比可以写成比例。 写一个比例的方法之一是以分数形式写成, 分数以100为分母。 但是, 某些分数可以简化。 因此, 您可以将百分比写成分数, 并将其减为最简单的形式 。

  播放段落

  As fractions and percents are both parts of a whole, you can interchange the way that you write them. A percent can be written as a fraction and a fraction can be written as a percent too.
  ::由于分数和百分数是整体的两部分, 您可以用您写成的方式互换。 百分数可以作为一个分数写成, 一个分数也可以作为一个百分数写成 。

  播放段落

  To write a percent as a fraction, you write the percent as a ratio with a denominator of 100. You can then write the fraction in simplest form, if possible.
  ::将百分比作为一个分数来写,您可以以100分母的比例来写,然后,如果可能的话,可以以最简单的形式写出这个分数。

  播放段落

  Let’s look at an example.
  ::让我们举个例子。

  播放段落

  Write 80 % as a fraction in simplest form.
  ::以最简单的形式将80%的分数写成一个分数。

  播放段落

  First, write the percent as a fraction with a denominator of 100.
  ::首先,把百分数写成一个分数,分母为100。

  $$\begin{array}{r}\frac{80}{100}\end{array}$$

  播放段落

  Next,  simplify  this fraction. You can start by canceling a  zero  in the  numerator  and one in the denominator.
  ::下一步,简化此分数 。 您可以从取消分子中的 0 和分母中的 1 开始 。

  $$\begin{array}{r}\frac{8\cancel{0}}{10\cancel{0}}\end{array}$$

  播放段落

  Now you have eight-tenths to simplify. Notice that both 8 and 10 are divisible by 2.
  ::现在您需要简化八十分之八。 请注意 8 和 10 都可除以 2 。 请注意 , 8 和 10 都可除以 2 。

  $$\begin{array}{r}\frac{8÷2}{10÷2}=\frac{4}{5}\end{array}$$

  播放段落

  Then check to see if your answer can be reduced further. In this case it cannot.
  ::然后检查是否您的答复可以进一步缩减。 在这种情况下, 它不能 。

  播放段落

  The answer is that 80% can be written as the fraction  $\begin{array}{r}\frac{4}{5}\end{array}$  in simplest form.
  ::答案是80%可以写成 以最简单的形式写成第45项。

  播放段落

  Let’s look at another example.
  ::让我们再看看另一个例子。

  播放段落

  Write 12% as a fraction in simplest form.
  ::以最简单的形式将12%的分数写成一个分数。

  播放段落

  First, write the percent as a fraction out of 100.
  ::首先,将百分数的百分数 写成100分之一。

  $$\begin{array}{r}\frac{12}{100}\end{array}$$

  播放段落

  Next, you simplify this fraction. The   of 12 and 100 is 4, so you  divide  both the numerator and the denominator by 4.
  ::接下来,您简化这个分数。 12和100是 4, 所以您将分子和分母除以 4 。

  $$\begin{array}{r}\frac{12÷4}{100÷4}=\frac{3}{25}\end{array}$$

  播放段落

  Then, check to ensure that the fraction cannot not be reduced further. In this instance it cannot.
  ::然后检查以确保分数不能进一步缩小。 在此情况下它不能 。

  播放段落

  The answer is 12% can be written as the fraction  $\begin{array}{r}\frac{3}{25}\end{array}$  in simplest form.
  ::答案是12%,可以写为第325项最简单的形式。

  播放段落

  Examples
  ::实例

  播放段落

  Example 1
  ::例1

  播放段落

  Earlier, you were given a problem about Chantal and her weather monitor.
  ::早些时候,你遇到了 香黛儿和她的天气监视器的问题

  播放段落

  The gauge showed the humidity to be 34%. How could you write this percent as a fraction in simplest form?
  ::测量仪显示湿度为34%。 您如何以最简单的形式将这个百分比作为分数写入 ?

  播放段落

  First, write the percent as a fraction out of 100.
  ::首先,将百分数的百分数 写成100分之一。

  $$\begin{array}{r}\frac{34}{100}\end{array}$$

  播放段落

  Next, you simplify this fraction. The greatest common factor of 34 and 100 is 2, so you divide both the numerator and the denominator by 2.
  ::接下来,你简化这个分数。34和100的最大共同系数是 2, 所以将分子和分母除以 2。

  $$\begin{array}{r}\frac{34÷2}{100÷2}=\frac{17}{50}\end{array}$$

  播放段落

  Then, check to ensure that the fraction cannot not be reduced further. In this instance it cannot.
  ::然后检查以确保分数不能进一步缩小。 在此情况下它不能 。

  播放段落

  The answer is that the simplest fraction form of 34% is  $\begin{array}{r}\frac{17}{50}\end{array}$ .
  ::答案是,34%的最简单分数形式是17 50。

  播放段落

  Example 2
  ::例2

  播放段落

  Write this percent as a fraction in simplest form.
  ::将此百分比写成一个最简单的分数。

  $$\begin{array}{r}33\mathrm{\%}\end{array}$$

  播放段落

  First, you can write it as a fraction with a denominator of 100.
  ::首先,你可以写成一个分数,分母为100。

  $$\begin{array}{r}\frac{33}{100}\end{array}$$

  播放段落

  There isn’t a greatest common factor for 33 and 100, so this is the fraction in simplest form.
  ::这是最简单的分数。

  播放段落

  The answer is 33% can be written as the fraction  $\begin{array}{r}\frac{33}{100}\end{array}$  in simplest form.
  ::答案是33%,可以以最简单的形式写成第33100项。

  播放段落

  Example 3
  ::例3

  播放段落

  Solve the following problem. Write 18% as a fraction in simplest form.
  ::解决以下问题。 以最简单的形式将 18% 的分数写入 。

  播放段落

  First, write the percent as a fraction out of 100.
  ::首先,将百分数的百分数 写成100分之一。

  $$\begin{array}{r}\frac{18}{100}\end{array}$$

  播放段落

  Next, you simplify this fraction. The greatest common factor of 18 and 100 is 2, so you divide both the numerator and the denominator by 2.
  ::接下来,您简化这个分数。 18和100的最大共同系数是 2, 所以您将分子和分母除以 2 。

  $$\begin{array}{r}\frac{18÷2}{100÷2}=\frac{9}{50}\end{array}$$

  播放段落

  Then, check to ensure that the fraction cannot not be reduced further. In this instance it cannot.
  ::然后检查以确保分数不能进一步缩小。 在此情况下它不能 。

  播放段落

  The answer is 18% can be written as the fraction  $\begin{array}{r}\frac{9}{50}\end{array}$  in simplest form.
  ::答案是18%,可以写为第950项,形式最简单。

  播放段落

  Example 4
  ::例4

  播放段落

  Solve the following problem. Write 20% as a fraction in simplest form.
  ::解决以下问题。 以最简单的形式将20%的分数写成一个分数 。

  播放段落

  First, write the percent as a fraction out of 100.
  ::首先,将百分数的百分数 写成100分之一。

  $$\begin{array}{r}\frac{20}{100}\end{array}$$

  播放段落

  Next, you simplify this fraction. The greatest common factor of 20 and 100 is 20, so you divide both the numerator and the denominator by 20.
  ::接下来,您简化了这个分数。 20和100的最大共同系数是20, 所以将分子和分母除以20。

  $$\begin{array}{r}\frac{20÷20}{100÷20}=\frac{1}{5}\end{array}$$

  播放段落

  Then, check to ensure that the fraction cannot not be reduced further. In this instance it cannot.
  ::然后检查以确保分数不能进一步缩小。 在此情况下它不能 。

  播放段落

  The answer is 20% can be written as the fraction  $\begin{array}{r}\frac{1}{5}\end{array}$  in simplest form.
  ::答案是20%,可以写成第15项,以最简单的形式写成。

  播放段落

  Example 5
  ::例5

  播放段落

  Solve the following problem. Write 4% as a fraction in simplest form.
  ::解决以下问题。 以最简单的形式将4%的分数写成一个分数 。

  播放段落

  First, write the percent as a fraction out of 100.
  ::首先,将百分数的百分数 写成100分之一。

  $$\begin{array}{r}\frac{4}{100}\end{array}$$

  播放段落

  Next, you simplify this fraction. The greatest common factor of 4 and 100 is 4, so you divide both the numerator and the denominator by 4.
  ::接下来,您简化这个分数。 最大共同系数 4 和 100 是 4, 所以您将分子和分母除以 4 。

  $$\begin{array}{r}\frac{4÷4}{100÷4}=\frac{1}{25}\end{array}$$

  播放段落

  Then, check to ensure that the fraction cannot not be reduced further. In this instance it cannot.
  ::然后检查以确保分数不能进一步缩小。 在此情况下它不能 。

  播放段落

  The answer is 4% can be written as the fraction  $\begin{array}{r}\frac{1}{25}\end{array}$ in simplest form.
  ::答案是4%,可以写成第125项,以最简单的形式写成。

  播放段落

  Review
  ::回顾

  播放段落

  Write each percent as a fraction in simplest form.
  ::以最简单的形式将每一百分比作为分数写出来。

  1. 10%
  2. 6%
  3. 22%
  4. 41%
  5. 33%
  6. 70%
  7. 77%
  8. 19%
  9. 12%
  10. 20%
  11. 5%
  12. 25%
  13. 40%
  14. 60%
  15. 90%

  播放段落

  Review (Answers)
  ::回顾(答复)

  播放段落

  Click   to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
  ::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键 。

  播放段落

  Resources
  ::资源