如何从整数中减去带分数？

包含零和所有正整数的数字子集称为整数。总数从 0 到无穷大。这些数字用于日常计算，主要用于测量基本量。自然数仅由整数组成，包括零。数字 0, 1, 2, 3, 4, 5, 6 ,7 … 表示子集。该子集不包括分数、小数和负整数。

正整数，也称为计数，是整数中包含零的部分，例如 0、1、2、3、4、5、6、7 等，但不包括负整数、分数和小数。 10, 11, 12, 22,28 100, 1000 等等都是整数的例子。

混合分数

混合分数是分数的一种形式，它同时具有整数和小数部分。例如，3(5/2) 是混合分数，这里 3 是整数，5/2 是小数部分。 2(4/3) 是带分数，这里 2 是整数，4/3 是小数部分

你如何用整数减去带分数？

解决方案：

To subtract mixed fraction with whole number 

Follow some steps,

• Step 1: Make an improper fraction from the mixed fraction.
• Step 2: Express the whole number as a fraction with 1 as the denominator.
• Step 3: Subtract the fractions

This is the proper way to subtract mixed fraction with whole number.

示例问题

问题 1：减去 3(4/5) – 8？

解决方案：

Given: 3(4/5) – 8

Here mixed fraction 3(4/5)

Step 1:  Make an improper fraction from the mixed fraction.

Therefore, 3(4/5)

= 19/5 as an improper fraction

Step 2: Express the whole number as a fraction with 1 as the denominator. So 8 we can write as 8/1

Step 3: Subtract the fraction i.e 19/5 – 8/1

= Here the lcm of denominators are 5

= (19 – 8)/5

= 11/5

问题 2：减去 8 – 5(2/3)？

解决方案：

Given: 8 – 5(2/3)

Here mixed fraction 5 (2/3)

Step 1: Make an improper fraction from the mixed fraction.

Therefore, 5(2/3)

= 17/3 as an improper fraction

Step 2: Express the whole number as a fraction with 1 as the denominator. So 8 we can write as 8/1

Step 3: Subtract the fraction i.e 17/3 – 8/1

= Here the lcm of denominators are 3

= (17 – 8)/3

= 9/3

= 3 which is a whole number .

问题 3：减去 7 – 2(8/5)？

解决方案：

Given: 7 – 2(8/5)

Here mixed fraction 2(8/5)

Step 1: Make an improper fraction from the mixed fraction.

Therefore, 2(8/5)

= 18/5 as an improper fraction

Step 2: Express the whole number as a fraction with 1 as the denominator. So 7 we can write as 7/1

Step 3: Subtract the fraction i.e 18/5 – 7/1

= Here the lcm of denominators are 5

= (18 – 7)/5

= 11/5

问题 4：减去 8/5 – 9/6？

解决方案：

Given: 8/5 – 9/6 

= Here the lcm of denominator 5 and 6 are 30

= (48 – 45) / 30

= 3/30

= 1/10

问题 5：减去 2(8/5) – 4(9/6)？

解决方案：

Given: 2(8/5) – 4( 9/6)

= 18/5 – 33/6 

= (108 – 165)/30

= -57/30

= -19/10

问题 6：减去 2 – 3(7/2)？

解决方案：

Given: 2 – 3(7/2)

Here mixed fraction 3(7/2)

Step 1:  Make an improper fraction from the mixed fraction.

Therefore, 3(7/2)

= 13/2 as an improper fraction

Step 2: Express the whole number as a fraction with 1 as the denominator

So 2 we can write as 2/1

Step 3: Subtract the fraction i.e; 

= 2/1 -13/2

= Here the lcm of denominators are 2

= (2 – 13)/2

= – 11/2