Class 8 Exam > Class 8 Questions > Solve the linear equations X/2-1/5=x/3 1/4?
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Solve the linear equations X/2-1/5=x/3 1/4?
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Solve the linear equations X/2-1/5=x/3 1/4?
Solution:
Given equation is X/2-1/5=x/3 1/4
To solve this equation, we need to follow the below steps:
Step 1: Convert mixed fraction into improper fraction.
3 1/4 = (3*4+1)/4 = 13/4
Step 2: Get rid of fractions by multiplying the whole equation by the LCD (Least Common Multiple) of the denominators.
LCD of 2, 5 and 3 is 30. So, we multiply both sides of the equation by 30.
30 * X/2 - 30 * 1/5 = 30 * x/3 1/4
15X - 6 = 10x - 13/4
Step 3: Group like terms.
15X - 10X = -13/4 + 6
5X = 23/4
Step 4: Solve for X.
X = (23/4) / 5
X = 23/20
Therefore, X = 1 3/20
Final Answer: X = 1 3/20
Given equation is X/2-1/5=x/3 1/4
To solve this equation, we need to follow the below steps:
Step 1: Convert mixed fraction into improper fraction.
3 1/4 = (3*4+1)/4 = 13/4
Step 2: Get rid of fractions by multiplying the whole equation by the LCD (Least Common Multiple) of the denominators.
LCD of 2, 5 and 3 is 30. So, we multiply both sides of the equation by 30.
30 * X/2 - 30 * 1/5 = 30 * x/3 1/4
15X - 6 = 10x - 13/4
Step 3: Group like terms.
15X - 10X = -13/4 + 6
5X = 23/4
Step 4: Solve for X.
X = (23/4) / 5
X = 23/20
Therefore, X = 1 3/20
Final Answer: X = 1 3/20
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Solve the linear equations X/2-1/5=x/3 1/4?
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Solve the linear equations X/2-1/5=x/3 1/4? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Solve the linear equations X/2-1/5=x/3 1/4? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the linear equations X/2-1/5=x/3 1/4?.
Solve the linear equations X/2-1/5=x/3 1/4? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Solve the linear equations X/2-1/5=x/3 1/4? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the linear equations X/2-1/5=x/3 1/4?.
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