Math Lesson Plan · Grades 6–9

One Step Equations with Fractions Lesson

Teach students to solve one-step algebra equations that involve fractions. The lesson begins with a fraction review, then walks through solving equations with fractional coefficients using inverse operations — multiplying by the reciprocal to isolate the variable. Includes 30 practice problems and answer key.

Lesson Overview

Solving One-Step Equations with Fractions

When an equation has a fractional coefficient, the strategy is the same as any one-step equation: use the inverse operation to isolate the variable. For fractions, that means multiplying both sides by the reciprocal of the fraction. For example, if (1/2)x = 6, multiply both sides by 2/1 to get x = 12. The lesson opens with a fraction review to make sure students have the prerequisite skills before applying them to equations.

The seven-page lesson walks through multiple worked examples with increasing complexity, including mixed numbers and negative fractions. Students then complete 30 practice problems covering all the equation types from the lesson. The answer key covers all 30 problems.

How to Use This Lesson

1. Read the fraction review section (pages 1–2) as a class. Confirm students can multiply and divide fractions before moving on.

2. Work through the equation examples (pages 3–5) together. Emphasize the reciprocal strategy and show each step.

3. Assign the 30 practice problems (page 6) individually. Review answers using the key on page 7.

Printable Resource

A classroom-ready PDF with everything in one printable resource.

Keep Exploring Math