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Home › Courses › Pre-Algebra › Archive for Chapter 5: Fraction Operations & Solving Equations with Fractions
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Chapter 5: Fraction Operations & Solving Equations with Fractions

This chapter is the place for mastering all operations with fractions! You will begin with finding the least common multiple and ordering fractions before converting between fractions and decimals. From here you will go on a detailed, yet simple tour of mastering adding, subtracting, multiplying, and dividing fractions. Toward the end of the chapter a great lesson on converting units and something awesome called dimensional analysis is rocked! The chapter closes out with solving one-step equations involving fractions and the final major exponent rule of raising a fraction to a power is taught. Time to make fractions your friends!

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Lesson 1 – Least Common Multiple (LCM)

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Lesson 2 – Comparing & Ordering Fractions and the LCD

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Lesson 3 – Converting Between Decimals and Fractions

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Lesson 4 – Estimating Adding and Subtracting Fractions

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Lesson 5 – Adding & Subtracting Fractions with Same Denominators

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Lesson 6 – Adding & Subtracting Fractions with Different Denominators

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Lesson 7 – Adding & Subtracting Mixed Numbers

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Lesson 8 – Multiplying Fractions

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Lesson 9 – Multiplying Mixed Numbers

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Lesson 10 – Dividing Fractions

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Lesson 11 – Dividing Mixed Numbers

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Lesson 12 – Unit Conversions & Dimensional Analysis

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Lesson 13 – Solving One-Step Equations by Adding & Subtracting Fractions

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Lesson 14 – Solving Equations By Multiplying Fractions

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Lesson 15 – Raising Fractions to a Power

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      • 6th Grade Math
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Whole Numbers & Decimals
        • Chapter 2: Representing Data In Different Ways
        • Chapter 3: Variables, Algebraic Expressions, & Solving Equations
        • Chapter 4: Divisibility, Factoring Numbers, & Fractions
        • Chapter 5: Addition and Subtraction of Fractions
        • Chapter 6: Multiplication and Division of Fractions
        • Chapter 7: Ratios, Proportions, and Percents
        • Chapter 8: Fundamentals of Geometry
        • Chapter 9: Unit Conversions, Perimeter, Area, & Volume
        • Chapter 10: Introduction to Probability
        • Chapter 11: Integers – Properties, Operations, & Equations
        • Chapter 12: Two-Step Equations and Inequalities
      • Pre-Algebra
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions & Operations with Integers
        • Chapter 2: One-Step Equations & Inequalities
        • Chapter 3: Operations and Equations With Decimals
        • Chapter 4: Factors, Simplifying Fractions, and Exponent Rules
        • Chapter 5: Fraction Operations & Solving Equations with Fractions
        • Chapter 6: Operations and Uses of Ratios, Proportions, & Percents
        • Chapter 7: Solving Equations and Inequalities
        • Chapter 8: Relations & Functions, Slope, Lines, and Graphing
        • Chapter 9: Foundations of Geometry
        • Chapter 10: Areas of Two- & Three-Dimensional Figures and Volume
        • Chapter 11: Right Triangles and An Introduction to Trigonometry
        • Chapter 12: Data Analysis: Techniques and Calculations
        • Chapter 13: Probability, Combinations, and Permutations
        • Chapter 14: Foundations of Non-Linear Functions and Polynomial Operations
      • Algebra 1
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1: Algebraic Expressions and Operations with Real Numbers
        • Chapter 2: Solving Equations – From One-Step to Multi-Step
        • Chapter 3: Ratios, Proportions, & Percents
        • Chapter 4: Solving Inequalities
        • Chapter 5: Introduction to Graphs and Functions
        • Chapter 6: Linear Functions and Graphing Lines
        • Chapter 7: Systems of Linear Equations and Linear Inequalities
        • Chapter 8: Exponent Rules & Exponential Functions
        • Chapter 9: Polynomials
        • Chapter 10: Graphing and Solving Quadratic Equations
        • Chapter 11: Introduction to Rational Expressions
        • Chapter 12: Radicals and An Introduction to Trigonometry
        • Chapter 13: Data Analysis: Techniques and Calculations
        • Chapter 14: Probability, Combinations, and Permutations
      • Calculus 1 & 2 / AB / BC
        ▼
        • Course Overview
        • How to Maximize Your Learning Experience!
        • Chapter 1 – Limits
        • Chapter 2 – Derivatives
        • Chapter 3 – Uses of the Derivative
        • Chapter 4 – Integration
        • Chapter 5 – Derivatives and Integrals of Exponential Functions, Logarithms, and Inverse Trigonometry
        • Chapter 6 – Differential Equations and Exponential & Logistic Growth
        • Chapter 7 – Area, Volume, and Arc Length
        • Chapter 8 – Advanced Integration Techniques and Improper Integrals
        • Chapter 9 – Series and Tests for Convergence and Divergence
        • Chapter 10 – Taylor Polynomials and Power Series
        • Chapter 11 – The Calculus of Parametric and Polar Equations
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