This post features two detailed visual lessons that walk you through solving algebraic equations involving fractions, reciprocals, and rearranged formulas. These examples are perfect for high school and college students studying algebra, precalculus, or preparing for physics and engineering courses.

In the first image, you'll learn how to isolate a variable when it appears in a reciprocal form, like in the equation:

1/R = 1/R₁ + 1/R₂

It shows the full algebraic manipulation step-by-step, using fraction addition rules and rearrangement. It also includes how to solve for variables in more complex expressions like S = a / (1 - r), breaking down each step with clean annotations that reinforce logical thinking.

The second image teaches how to solve fraction-based linear equations and explains how misusing symbols like arrows can misrepresent your logic. You’ll see a full breakdown of a problem involving terms like 2/y + 4/y = 3, where the right process is more important than just the answer.

These images are taken directly from my full-length math resource, designed for STEM students who want structured clarity, not shortcuts.

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Search tags: solve for R, rearranging algebraic equations, reciprocal equations, step-by-step algebra, solving for a variable, algebra notes with examples, visual math help, equation manipulation, how to solve fraction equations, precalculus practice.