How to Solve the Equation: 3a-1/4 a-2/3 - a-1/5 21/20

Understanding and solving equations with fractions is a crucial skill in algebra. This article aims to provide a detailed, step-by-step guide to solving the given equation, making it easier for both students and SEO professionals to grasp and apply the concepts.

Introduction to Solving Equations with Fractions

Equations involving fractions can be complex, but with the right approach, they become manageable. In this article, we will break down the process of solving the equation 3a-1/4 a-2/3 - a-1/5 21/20.

Step-by-Step Solution

Let's start by multiplying both sides of the equation by 60 to eliminate the denominators:

Equation: 3a-1/4 a-2/3 - a-1/5 21/20

Multiply both sides by 60:

15(3a-1) - 20(a-2) - 12(a-1) 60(21/20)

Simplify the left-hand side:

Expand the brackets:

45a - 15 - 20a 40 - 12a 12 63

Combine like terms:

45a - 20a - 12a - 15 40 12 63

13a 37 63

Isolate the term with the variable:

13a 63 - 37

13a 26

Solve for a:

a 26 / 13

Therefore, a 2

SEO Optimization Tips for This Equation

When optimizing content for search engines, it's crucial to include key phrases and keywords that are relevant to the topic. Here are some tips for SEO optimization:

Include the main keyword solving equations with fractions in the title and throughout the content.

Use variations of the keywords like solving algebraic equations and fractions in equations in headers, subheaders, and throughout the text.

Make sure to use numerical examples and calculations for better engagement and understanding.

Ensure the content is well-structured with clear headings and subheadings to improve readability.

Conclusion

Solving equations with fractions can be approached systematically, following a series of steps to simplify and resolve the equation. With the right guidance and practice, these types of problems become much easier to manage. For SEO purposes, incorporating relevant keywords and structuring the content correctly will help improve the visibility and ranking of your content in search results.