假分数是有理数吗？

有理数的形式为 p/q，其中 p 和 q 是整数且 q ≠ 0。由于数字的基本结构 p/q 形式，大多数人难以区分分数和有理数。当你除一个有理数时，结果是十进制形式，它可能是结束的，也可能是循环的。有理数的示例有 2、-2、4、-4、7 等，它们可以用分数形式表示为 2/1、4/1 和 7/1。

有理数是一种实数，公式为 p/q，其中 q ≠ 0。当有理数被除时，结果是一个十进制数，可以结束也可以重复。

不正确的分数

假分数是分子大于或大于分母的分数，例如 7/3 和 12/5。与其他类型的分数（例如混合分数）相比，假分数更容易使用加法和减法来回答。

假分数是有理数吗？

回答：

If a numerator is greater than denominator in fraction then the improper fraction will be rational number.

• Example 1: We have fraction 5/4 its a improper fraction as here numerator is greater than denominator. After dividing 5 by 4 , the result will be 1.25 which is a terminating after decimal , therefore its an rational number.
• Example 2: Now fraction 6/5 its a improper fraction as numerator is greater than denominator. Therefore after dividing 6 by 5 , the result will be 1.2 its a rational number.

类似问题

问题 1：识别下列数字中的假分数，

13/5、3、2/9、4/2、4/5。

回答：

 An improper fraction is one in which the numerator is higher than or greater than the denominator. 

Here improper functions are: 13/5, 4/2, 3 

问题 2：16/4 是否合理？

回答：

Here Given 16/4, we can simplify it by dividing 16/4 is 4, therefore 4 can be written as 4/1 hence its an improper fraction and rational number.

问题 3：判断 17/5 假分数是否合理？

回答：

An improper fraction is one in which the numerator is higher than or greater than the denominator, such as 7/3 and 12/5. When compared to other types of fractions such as mixed fractions, improper fractions are easier to answer using addition and subtraction.

Given: 17/5 which is an improper fraction, after dividing 17/5 we will get 3.4 which is terminating after decimal. Therefore 17/5 is a rational number 

问题4：化简假分数6/5 + 8/5，看看结果是否有理？

解决方案：

Given: 6/5 + 8/5 

Here with the same denominator is 5.

= 6/5 + 8/5

= (6 + 8)/5

= 14/5

Here 14/5 is improper fraction.

After dividing 14/5 we will get 2.8 which is terminating digit after decimal,

Therefore its a rational number.

问题 5：化简假分数 4/5 – 12/5 并找出结果是否合理？

解决方案：

Given: 4/5 – 12/5

Here with the same denominator is 5.

= 4/5 – 12/5

= (4 – 12)/5

= – 8/5

Here – 8/5 is improper fraction.

After dividing 8/5 we will get -1.6 which is terminating digit after decimal, hence it is negative and rational number include all the integers.

Therefore its a rational number.

问题 6：判断 11/5 是有理数还是无理数。

回答：

A rational number is a sort of real number that has the form p/q where q ≠ 0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal.

Here, the given number 11/5 can be written as after simplify 2.2… is an rational number as it has terminating digits after decimal

Therefore 11/5 is a rational number .