Section: %转换为分数 | 6.2%转换为分数

Section outline

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?

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。

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

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。

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。

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。

Let’s look at an example.
::让我们举个例子。

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。

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。

$\begin{aligned} \frac{80}{100} \end{aligned}$

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。

$\begin{aligned} \frac{80}{100} \end{aligned}$

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 。

$\begin{aligned} \frac{8 \div 2}{10 \div 2} = \frac{4}{5} \end{aligned}$

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。

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

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

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。

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。

$\begin{aligned} \frac{12}{100} \end{aligned}$

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 。

$\begin{aligned} \frac{12 \div 4}{100 \div 4} = \frac{3}{25} \end{aligned}$

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。

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

Examples
::实例

Example 1
::例1

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

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 ?

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。

$\begin{aligned} \frac{34}{100} \end{aligned}$

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。

$\begin{aligned} \frac{34 \div 2}{100 \div 2} = \frac{17}{50} \end{aligned}$

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。

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

Example 2
::例2

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

$\begin{aligned} 33 % \end{aligned}$

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。

$\begin{aligned} \frac{33}{100} \end{aligned}$

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。

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

Example 3
::例3

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。

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。

$\begin{aligned} \frac{18}{100} \end{aligned}$

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 。

$\begin{aligned} \frac{18 \div 2}{100 \div 2} = \frac{9}{50} \end{aligned}$

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。

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

Example 4
::例4

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。

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。

$\begin{aligned} \frac{20}{100} \end{aligned}$

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。

$\begin{aligned} \frac{20 \div 20}{100 \div 20} = \frac{1}{5} \end{aligned}$

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。

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

Example 5
::例5

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。

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。

$\begin{aligned} \frac{4}{100} \end{aligned}$

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 。

$\begin{aligned} \frac{4 \div 4}{100 \div 4} = \frac{1}{25} \end{aligned}$

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。

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

Review
::回顾

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。

10%

6%

22%

41%

33%

70%

77%

19%

12%

20%

5%

25%

40%

60%

90%

Review (Answers)
::回顾(答复)

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。

Resources
::资源

Section outline

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

Examples ::实例

Example 1 ::例1

Example 2 ::例2

Example 3 ::例3

Example 4 ::例4

Example 5 ::例5

Review ::回顾

Review (Answers) ::回顾(答复)

Resources ::资源

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

Examples
::实例

Example 1
::例1

Example 2
::例2

Example 3
::例3

Example 4
::例4

Example 5
::例5

Review
::回顾

Review (Answers)
::回顾(答复)

Resources
::资源