- 1. Whole Numbers2h 43m
- 2. Integers1h 7m
- 3. Introduction to Solving Equations and Problem Solving1h 11m
- 4. Fractions3h 29m
- 5. Decimals1h 20m
- 6. Ratio, Proportion, and Percent2h 1m
- 7. Graphing and Introduction to Statistics31m
- 8. Geometry49m
- 9. Measurement58m
- 10. Linear Equations and Inequalities6h 29m
- The Distributive Property17m
- Evaluating Expressions15m
- Review: Addition and Subtraction Properties of Equality41m
- Review: Multiplication and Division Properties of Equality30m
- Solving Linear Equations1h 14m
- Introduction to Problem Solving37m
- Formulas21m
- Review: Percent Problem Solving59m
- Mixture Problem Solving43m
- Linear Inequalities in One Variable46m
- 11. Graphing Linear Equations and Inequalities4h 58m
- 12. Systems of Linear Equations1h 43m
- 13. Exponents and Polynomials3h 55m
- Review: Evaluating Exponents29m
- The Product Rule10m
- Intro to the Power Rules18m
- The Power of a Quotient Rule18m
- Negative Exponents28m
- The Quotient Rule13m
- Simplifying Exponential Expressions Using All Exponent Rules6m
- Intro to Polynomials21m
- Adding and Subtracting Polynomials20m
- Multiplying Polynomials33m
- Special Products34m
- 14. Factoring Polynomials2h 42m
- 15. Rational Expressions and Equations3h 40m
- Simplifying Rational Expressions39m
- Multiplying And Dividing Rational Expressions25m
- Adding and Subtracting Rational Expressions with Common Denominators19m
- Least Common Denominators32m
- Adding and Subtracting Rational Expressions with Different Denominators32m
- Rational Equations44m
- Direct & Inverse Variation27m
- 16. Roots and Radicals2h 46m
- 17. Quadratic Equations1h 55m
Adding And Subtracting Unlike Fractions: Videos & Practice Problems
Adding And Subtracting Unlike Fractions means working with fractions that have different denominators, so the first step is to find the least common denominator or LCD. The LCD can be found by listing multiples or by using prime factorization and taking the product of the unique prime factors in the denominators. This creates a common denominator so the fractions can be rewritten as equivalent fractions.
After rewriting each fraction with the same denominator, the fractions become like fractions. Then add or subtract only the numerators and keep the common denominator. In symbols, \(\frac{a}{b}\pm\frac{c}{d}=\frac{ad\pm bc}{bd}\) describes the idea, while the preferred denominator is usually the least common denominator. Always multiply the numerator and denominator by the same constant, combine carefully, and write the final result in simplest form.
Adding And Subtracting Unlike Fractions

Add or subtract the fractions below and simplify your result.
54
2417
32
2411
Add or subtract the fractions below and simplify your result.
187
1813
31
94
Add or subtract the fractions below and simplify your result.
2417
245
83
87
Add or subtract the fractions below and simplify your result.
248y
3y
2413y
247y
Add or subtract the fractions below and simplify your result.
10x
103xa
203x
2011x