5.14作为假分数的带分数

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  作为假分数的带分数

  

  [Figure 1]

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  Casey ordered eight pizzas for the drama club to enjoy. Each pizza had ten slices. At the end of the pizza party, there were two whole pizzas and two slices left. How many slices weren’t eaten? How can you express this as an  improper fraction  of pizza slices?
  ::凯西为戏剧俱乐部订购了八份比萨饼。每份比萨饼有十份。在披萨晚会结束时,还有两份整份比萨饼和两份薄饼。有多少份没有吃?你怎么能把它说成是披萨片中不恰当的部分呢?

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  In this concept, you will learn how to rewrite mixed numbers as an improper fraction.
  ::在这个概念中,你将学会如何将混合数字改写为不适当的部分。

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  Writing Mixed Numbers as Improper Fractions
  ::以不正确分数写入混合数字

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  A  mixed number  is a number that has both wholes and parts in it. Here is a mixed number.
  ::混合数字是一个既包括整数又包括整数和部分数的数字,这是一个混合数字。

  $$\begin{array}{r}5\frac{1}{4}\end{array}$$

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  There are five whole items and one-fourth of a whole. The opposite of a mixed number is an improper fraction.
  ::有五个完整项目和四分之一完整项目。与混合数字相反的是不适当的部分。

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  An  improper fraction  is a fraction that has a larger  numerator  than the  denominator . Here is an improper fraction.
  ::不适当的分数是一个比分母更大的分子分数。 这是不恰当的分数 。

  $$\begin{array}{r}\frac{12}{5}\end{array}$$

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  The denominator tells you how many parts the whole has been divided into. This whole has been divided into 5 parts. The numerator tells you the number of parts. In this case, there are twelve parts. There are more parts than there are in 1 whole.
  ::分母可以告诉您整个部件被分为多少部分。 整个部件被分为5部分。 分子可以告诉你部件的数量。 在此情况下, 有12个部件。 有的部件比1个完整部分多。

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  To write a mixed number as an improper fraction, write the mixed number as a fraction in terms of parts instead of in terms of wholes and parts. Remember that a whole number can also be written as a fraction. The numerator is equal to the denominator.
  ::要将混合数字写成不适当的分数, 请将混合数字写成以部件为分数, 而不是以整数和部件为分数。 记住整数也可以以分数写成。 分子等于分母 。

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

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  Change  $\begin{array}{r}2\frac{1}{3}\end{array}$  to an improper fraction.
  ::将213换成不适当的分数

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  First, multiply the whole number by the denominator to convert the whole to a fraction and add the numerator. This will give you the new numerator.
  ::首先,将整数乘以分母,将整数转换成一个分数,并添加分子。这将为您提供新的分子。

  $$\begin{array}{r}2\times 3+1=7\end{array}$$

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  Then, put the  sum  over the denominator. The denominator is 3.
  ::然后把总和放在分母上,分母为3。

  $$\begin{array}{r}2\frac{1}{3}=\frac{7}{3}\end{array}$$

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  The mixed number  $\begin{array}{r}2\frac{1}{3}\end{array}$  is also written as  $\begin{array}{r}\frac{7}{3}\end{array}$ .
  ::混合编号2 1 3 也写为 7 3 。

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  Change the following mixed numbers to improper fractions.
  ::将下列混合数字改为不适当的部分。

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  Examples
  ::实例

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  Example 1
  ::例1

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  Earlier, you were given a problem about Casey and the pizzas. 
  ::早些时候,你得到一个问题 凯西和比萨饼。

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  Convert 2 pizzas and 2 slices to an improper fraction to find the number of uneaten slices of pizza.
  ::将2个披萨和2片切片 转换成不适当的部分 以找到未吃披萨片的数量

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  Two whole pizzas and two slices  $\begin{array}{r}=2\frac{2}{10}\end{array}$
  ::2个整批披萨和2个切片 = 2 2 10

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  First, multiply the whole number by the denominator and add the numerator.
  ::首先,将整数乘以分母并添加分子。

  $\begin{array}{r}2\times 10+2=22\end{array}$

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  Then, put the sum over the denominator. The denominator is 10.
  ::然后把总和放在分母上,分母是10。

  $\begin{array}{r}2\frac{2}{10}=\frac{22}{10}\end{array}$

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  There were a total of 22 slices of pizza left uneaten.
  ::共有22片披萨没有被吃掉

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  Example 2
  ::例2

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  Express  $\begin{array}{r}4\frac{7}{8}\end{array}$  as an improper fraction.
  ::4 7 8 表示为不适当的部分。

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  First, multiply the whole number by the denominator and add the numerator.
  ::首先,将整数乘以分母并添加分子。

  $$\begin{array}{r}4\times 8+7=39\end{array}$$

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  Then, put the sum over the denominator. The denominator is 8.
  ::然后,把总和放在分母上,分母是8。

  $$\begin{array}{r}4\frac{7}{8}=\frac{39}{8}\end{array}$$

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  The mixed number  $\begin{array}{r}4\frac{7}{8}\end{array}$  is expressed as  $\begin{array}{r}\frac{39}{8}\end{array}$ .
  ::混合数为4 7 8,表示为39 8。

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  Example 3
  ::例3

  $\begin{array}{r}3\frac{1}{3}\end{array}$

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  First, multiply the whole number by the denominator and add the numerator.
  ::首先,将整数乘以分母并添加分子。

  $\begin{array}{r}3\times 3+1=10\end{array}$

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  Then, put the sum over the denominator. The denominator is 3.
  ::然后把总和放在分母上,分母为3。

  $\begin{array}{r}3\frac{1}{3}=\frac{10}{3}\end{array}$

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  The mixed number  $\begin{array}{r}3\frac{1}{3}\end{array}$  is expressed as  $\begin{array}{r}\frac{10}{3}\end{array}$ .
  ::混合数为3,1,3,表示为10,3。

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  Example 4
  ::例4

  $\begin{array}{r}5\frac{2}{3}\end{array}$

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  First, multiply the whole number by the denominator and add the numerator.
  ::首先,将整数乘以分母并添加分子。

  $\begin{array}{r}3\times 5+2=17\end{array}$

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  Then, put the sum over the denominator. The denominator is 3.
  ::然后把总和放在分母上,分母为3。

  $\begin{array}{r}3\frac{1}{3}=\frac{10}{3}\end{array}$

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  The mixed number  $\begin{array}{r}5\frac{2}{3}\end{array}$  is expressed as  $\begin{array}{r}\frac{17}{3}\end{array}$ .
  ::混合数字5 2 3 表示为 17 3 。

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  Example 5
  ::例5

  $\begin{array}{r}6\frac{1}{8}\end{array}$

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  First, multiply the whole number by the denominator and add the numerator.
  ::首先,将整数乘以分母并添加分子。

  $\begin{array}{r}6\times 8+1=49\end{array}$

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  Then, put the sum over the denominator. The denominator is 3.
  ::然后把总和放在分母上,分母为3。

  $\begin{array}{r}6\frac{1}{8}=\frac{49}{8}\end{array}$

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  The mixed number  $\begin{array}{r}6\frac{1}{8}\end{array}$  is expressed as  $\begin{array}{r}\frac{49}{8}\end{array}$ .
  ::混合数为6,1,8,表示为49,8。

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  Review
  ::回顾

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  Write each mixed number as an improper fraction.
  ::将每个混合数字都写成不适当的部分。

  1. $\begin{array}{r}2\frac{1}{2}\end{array}$
  2. $\begin{array}{r}3\frac{1}{4}\end{array}$
  3. $\begin{array}{r}5\frac{1}{3}\end{array}$
  4. $\begin{array}{r}4\frac{2}{3}\end{array}$
  5. $\begin{array}{r}6\frac{1}{4}\end{array}$
  6. $\begin{array}{r}6\frac{2}{5}\end{array}$
  7. $\begin{array}{r}7\frac{1}{3}\end{array}$
  8. $\begin{array}{r}8\frac{2}{5}\end{array}$
  9. $\begin{array}{r}7\frac{4}{5}\end{array}$
  10. $\begin{array}{r}8\frac{2}{7}\end{array}$
  11. $\begin{array}{r}8\frac{3}{4}\end{array}$
  12. $\begin{array}{r}9\frac{5}{6}\end{array}$
  13. $\begin{array}{r}6\frac{5}{8}\end{array}$
  14. $\begin{array}{r}9\frac{2}{3}\end{array}$
  15. $\begin{array}{r}5\frac{1}{2}\end{array}$
  16. $\begin{array}{r}16\frac{1}{4}\end{array}$

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  Review (Answers) 
  ::回顾(答复)

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  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 。

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  Resources
  ::资源