课程： 5.15假分数作为带分数

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假分数作为带分数
The school 6 ^th grade class had a bake sale. Missy brought 48 muffins to sell. At the end of the day, there were still 15 muffins left. How many dozen muffins were left? Write the amount as a mixed number .
::学校六年级的班级有面包销售,Missy带了48个松饼去卖,最后只剩下15个松饼,还剩下多少个松饼?

In this concept, you will learn to write improper fractions as mixed numbers.
::在这个概念中,你将学会把不适当的分数写成混合数字。

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

An improper fraction is a fraction where the numerator is larger than the denominator . An improper fraction can be written as a mixed number. A mixed number is composed of a whole number and a fraction.
::当分子大于分母时,不适当的分数是一个分数。不适当的分数可以写成混合数。混合数由整数和分数组成。

To change an improper fraction to a mixed number, divide the numerator by the denominator. This will tell you the number of wholes. If there is a remainder , it is the fraction part of a mixed number.
::要将不适当的分数更改为混合数, 请将分子除以分母。这将告诉您整个数。如果还有剩余部分, 它就是混合数的分数部分。

Here is an improper fraction.
::这里有一个不适当的部分。

$\begin{aligned} \frac{18}{4} \end{aligned}$

There are 18 parts and the whole has only been divided into 4 parts. Remember that when the numerator is larger than the denominator, there is more than one whole.
::有 18 个部分, 整个只被划分为 4 个部分。记住当分子大于分母时 , 一个以上的整体。

$\begin{aligned} 1 whole = \frac{4}{4} \end{aligned}$

Convert $\begin{aligned} \frac{18}{4} \end{aligned}$ to a mixed number.
::将18 4转换为混合数字。

First, divide the numerator by the denominator.
::首先,将分子除以分母。

$\begin{aligned} 18 \div 4 = 4 R 2 \end{aligned}$

Then, write the quotient as a mixed number with the remainder as a fraction. The remainder is the numerator of the fraction.
::然后,将商数写成混合数,其余为分数。其余为分数的分子。

$\begin{aligned} \frac{18}{4} = 4 \frac{2}{4} \end{aligned}$

Next, look at the fraction. Simplify the fraction if you can. Divide the numerator and denominator by the , 2.
::下一步,请看分数。如果可以,请简化分数。将分子和分母除以, 2。

$\begin{aligned} \frac{2}{4} = \frac{1}{2} \end{aligned}$

The improper fraction $\begin{aligned} \frac{18}{4} \end{aligned}$ is expressed as $\begin{aligned} 4 \frac{2}{4} \end{aligned}$ or $\begin{aligned} 4 \frac{1}{2} \end{aligned}$ .
::不当的分数18 4 表示为 4 2 4 或 4 1 2 。

Sometimes, you will have an improper fraction that converts to a whole number and not a mixed number.
::有时候,你会有一个不适当的分数转换成一个整数,而不是混合数。

$\begin{aligned} \frac{18}{9} \end{aligned}$

Here 18 divided by 9 is 2. There is no remainder, so there is no fraction. This improper fraction converts to a whole number.
::这里18除以9是 2. 没有剩余部分, 所以没有分数。这个不适当的分数转换成一个整数。

The improper fraction $\begin{aligned} \frac{18}{9} \end{aligned}$ is expressed as 2.
::不当的分数18 9以2表示。

Examples
::实例

Example 1
::例1

Earlier, you were given a problem about Missy and her muffins.
::早些时候,你得到一个问题关于米西和她的松饼。

Missy had 15 muffins left over from the bake sale and a dozen contains 12 muffins. Convert 15 muffins as a fraction out of 12 to find the number of dozen muffins left.
::Missy在面包销售中剩下15个松饼,有12个松饼。 15个松饼在12个松饼中的一部分转换成12个,以找到剩下的12个松饼数量。

$\begin{aligned} Muffins left over = \frac{15}{12} \end{aligned}$

First, divide the numerator by the denominator.
::首先,将分子除以分母。

$\begin{aligned} 15 \div 12 = 1 R 3 \end{aligned}$

Then, write the quotient as a mixed number with the remainder as a fraction.
::然后,将商数写成混合数,其余为分数。

$\begin{aligned} \frac{15}{12} = 1 \frac{3}{12} \end{aligned}$

Next, look at the fraction. Simplify the fraction if you can. Divide the numerator and denominator by the greatest common factor, 3.
::下一步,请看分数。如果可以,请简化分数。将分子和分母除以最大共同系数,3。

$\begin{aligned} \frac{3}{12} = \frac{1}{4} \end{aligned}$

There were $\begin{aligned} 1 \frac{1}{4} \end{aligned}$ dozen muffins left over.
::剩下14打松饼

Example 2
::例2

Express this improper fraction as a mixed number.
::以混合数字表示这一不适当的部分。

$\begin{aligned} \frac{82}{5} \end{aligned}$

First, divide the numerator by the denominator.
::首先,将分子除以分母。

$\begin{aligned} 82 \div 5 = 16 R 2 \end{aligned}$

Then, write the quotient as a mixed number with the remainder as a fraction. The remainder is the numerator of the fraction.
::然后,将商数写成混合数,其余为分数。其余为分数的分子。

$\begin{aligned} \frac{82}{5} = 16 \frac{2}{5} \end{aligned}$

The improper fraction $\begin{aligned} \frac{82}{5} \end{aligned}$ is expressed as $\begin{aligned} 16 \frac{2}{5} \end{aligned}$ .
::不当分数82 5表示为16 2 5。

Example 3
::例3

Express this improper fraction as a mixed number.
::以混合数字表示这一不适当的部分。

$\begin{aligned} \frac{24}{5} \end{aligned}$

First, divide the numerator by the denominator.
::首先,将分子除以分母。

$\begin{aligned} 24 \div 5 = 4 R 4 \end{aligned}$

Then, write the quotient as a mixed number with the remainder as a fraction. The remainder is the numerator of the fraction.
::然后,将商数写成混合数,其余为分数。其余为分数的分子。

$\begin{aligned} \frac{24}{5} = 4 \frac{4}{5} \end{aligned}$

The improper fraction $\begin{aligned} \frac{24}{5} \end{aligned}$ is expressed as $\begin{aligned} 4 \frac{4}{5} \end{aligned}$ .
::不当的分数24 5表示为4 4 5 。

Example 4
::例4

Express this improper fraction as a mixed number.
::以混合数字表示这一不适当的部分。

$\begin{aligned} \frac{21}{3} \end{aligned}$

First, divide the numerator by the denominator.
::首先,将分子除以分母。

$\begin{aligned} 21 \div 3 = 7 \end{aligned}$

This fraction has no remainder and is not a mixed number.
::这一部分没有剩余部分,不是混合数字。

The improper fraction $\begin{aligned} \frac{23}{3} \end{aligned}$ is equal to 7.
::不当分数23 3等于7。

Example 5
::例5

Express this improper fraction as a mixed number.
::以混合数字表示这一不适当的部分。

$\begin{aligned} \frac{32}{6} \end{aligned}$

First, divide the numerator by the denominator.
::首先,将分子除以分母。

$\begin{aligned} 32 \div 6 = 5 R 2 \end{aligned}$

Then, write the quotient as a mixed number with the remainder as a fraction. The remainder is the numerator of the fraction.
::然后,将商数写成混合数,其余为分数。其余为分数的分子。

$\begin{aligned} \frac{32}{6} = 5 \frac{2}{6} \end{aligned}$

Next, look at the fraction. Simplify the fraction if you can. Divide the numerator and denominator by the greatest common factor, 2.
::下一步,请看分数。如果可以,请简化分数。将分子和分母除以最大共同系数2。

$\begin{aligned} \frac{2}{6} = \frac{1}{3} \end{aligned}$

The improper fraction $\begin{aligned} \frac{32}{6} \end{aligned}$ is expressed as $\begin{aligned} 5 \frac{2}{6} \end{aligned}$ or $\begin{aligned} 5 \frac{1}{3} \end{aligned}$ .
::不当分数32 6为5 2 6 或5 1 3。

Review
::回顾

Convert each improper fraction to a mixed number. Simplify when necessary.
::将每个不当分数转换为混合数。必要时简化。

$\begin{aligned} \frac{22}{3} \end{aligned}$

$\begin{aligned} \frac{44}{5} \end{aligned}$

$\begin{aligned} \frac{14}{3} \end{aligned}$

$\begin{aligned} \frac{7}{2} \end{aligned}$

$\begin{aligned} \frac{10}{3} \end{aligned}$

$\begin{aligned} \frac{47}{9} \end{aligned}$

$\begin{aligned} \frac{50}{7} \end{aligned}$

$\begin{aligned} \frac{60}{8} \end{aligned}$

$\begin{aligned} \frac{43}{8} \end{aligned}$

$\begin{aligned} \frac{19}{5} \end{aligned}$

$\begin{aligned} \frac{39}{7} \end{aligned}$

$\begin{aligned} \frac{30}{4} \end{aligned}$

$\begin{aligned} \frac{11}{7} \end{aligned}$

$\begin{aligned} \frac{26}{5} \end{aligned}$

$\begin{aligned} \frac{89}{8} \end{aligned}$

$\begin{aligned} \frac{70}{14} \end{aligned}$

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

章节大纲

常规

假分数作为带分数

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

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

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