减去具有不同分母的分数
'm/n' 形式的数字称为分数，这里 n 不能为零，分数才能成为有效分数。在给定的分数“m/n”中，变量“m”称为分子，“n”称为分母。分数根据分子和分母的大小比较进一步分类。分子小于分母的情况，即 (m
诸如加法和减法之类的数学运算也可以在数字的分数形式上执行。
减去具有不同分母的分数。请按照以下步骤操作：
步骤1：使两个分数的分母相同。为此，我们必须在分母中找到给定数字的 LCM。
第 2 步：将分子和分母乘以因子，这将有助于获得给定分数的相同分母。
第三步：得到相同的分母后，按要求进行所需的减法计算。
示例：考虑两个数字 1/3 和 4/5。从较大的分数中减去较小的分数。
解决方案：
Given two fractions: 1/3 and 4/5.
To perform Subtraction or even to compare the two numbers, we will need to have a common denominator for both of them.
Given First Fractional Number: 1/3
Given Second Fractional Number: 4/5
Numbers in Denominator: 3 for the first number and 5 for the second number.
We will find LCM of the numbers 3 and 5
The LCM of 3 and 5 is 15.
So, to attain 15 as the denominator, the multiplying factor for numerator and denominator for the first fractional number will be 5. Similarly, the multiplying factor for numerator and denominator for the second fractional number will be 3
First Fractional Number: (1×5)/(3×5)
= 5/15
Second Fractional Number: (4×3)/(5×3)
= 12/15
Now since the denominator is same, we will compare the numerators. Clearly, 12/15 is greater than 5/15. So, we will subtract 5/15 from 12/15.
Second Fractional Number > First Fractional Number
Second Fractional Number – First Fractional Number
(12/15) – (5/15)
= 7/15
类似问题
问题 1. 从 1/2 中减去 1/3。
回答：
Numbers in Denominator: 3 for the first number and 2 for the second number.
We will find LCM of the numbers 3 & 2
The LCM of 3 & 2 is 6.
So, to attain 6 as the denominator, the multiplying factor for the numerator and denominator for the first fractional number will be 2. Similarly, the multiplying factor for the numerator and denominator for the second fractional number will be 3
First Fractional Number: (1*2)/(3*2)
= 2/6
Second Fractional Number: (1*3)/(2*3)
= 3/6
So, (1*3)/(2*3) – (1*2/3*2)
= (3/6) – (2/6)
= 1/6
问题 2. 从 1/3 中减去 1/4。
回答：
Numbers in Denominator: 4 for the first number and 3 for the second number.
We will find LCM of the numbers 4 & 3
The LCM of 4 & 3 is 12.
So, to attain 12 as the denominator, the multiplying factor for the numerator and the denominator for the first fractional number will be 3. Similarly, the multiplying factor for the numerator and denominator for the second fractional number will be 4
First Fractional Number: (1*3)/(4*3)
= 3/12
Second Fractional Number: (1*4)/(3*4)
= 4/12
So, [(1*4)/(3*4) – (1*3)/(4*3)]
= (4/12) – (3/12)
= 1/12
问题 3. 从 1/2 中减去 1/4。
回答：
Numbers in Denominator: 4 for the first number and 2 for the second number.
We will find LCM of the numbers 4 & 2
The LCM of 4 & 2 is 4.
So, to attain 4 as the denominator, the multiplying factor for the numerator and the denominator for the first fractional number will be 1. Similarly, the multiplying factor for the numerator and denominator for the second fractional number will be 2
First Fractional Number: (1*1)/(4*1)
= 1/4
Second Fractional Number: (1*2)/(2*2)
= 2/4
So, [(1*2)/(2*2) – (1*1)/(4*1)]
= (2/4) – (1/4)
= 1/4
问题 4. 从 1/2 中减去 1/5。
回答：
Numbers in Denominator: 5 for the first number and 2 for the second number.
We will find LCM of the numbers 5 & 2
The LCM of 5 & 2 is 10.
So, to attain 10 as the denominator, the multiplying factor for the numerator and the denominator for the first fractional number will be 2. Similarly, the multiplying factor for the numerator and denominator for the second fractional number will be 5
First Fractional Number: (1*2)/(5*2)
= 2/10
Second Fractional Number: (1*5)/(2*5)
= 5/10
So,
= (5/10) – (2/10)
= 3/10
问题 5. 从 1/4 中减去 1/5。
回答：
Numbers in Denominator: 5 for the first number and 4 for the second number.
We will find LCM of the numbers 5 & 4
The LCM of 5 & 4 is 20.
So, to attain 20 as the denominator, the multiplying factor for the numerator and denominator for the first fractional number will be 4. Similarly, the multiplying factor for the numerator and denominator for the second fractional number will be 5
First Fractional Number: (1*4)/(5*4)
= 4/20
Second Fractional Number: (1*5)/(4*5)
= 5/20
So,
= (5/20) – (4/20)
= 1/20