Adding and Subtracting Fractions

Learn how to add and subtract fractions, including proper, improper, and mixed numbers. Let’s get started! 🚀

Adding and Subtracting Fractions - introduction visual

Video Lesson

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Flashcards

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Explanation of the addition of fractions with the same denominator using pizza slices to illustrate.Adding and subtracting fractions with different denominators. Showing the steps to make the denominators the same and subtract fractions 5/6 and 1/4.Different types of fractions in a diagram showing proper fractions, improper fractions, and mixed fractions with examples.Converting between improper fractions and mixed numbers with step-by-step calculations.

🛎️ Adding and Subtracting Like Fractions

  • Like fractions have the same denominator.
  • Add or subtract the numerators only, keep the denominator the same, then simplify if possible.

🛎️ Adding and Subtracting Unlike Fractions

  • Unlike fractions have different denominators.
  • Make the denominators the same first, then add or subtract.

🛎️ Types of Fractions

  • Proper fractions: numerator is smaller than the denominator (e.g. 13\dfrac{1}{3})
  • Improper fractions: numerator is greater than or equal to the denominator (e.g. 85\dfrac{8}{5})
  • Mixed numbers: a whole number and a fraction together (e.g. 2352\dfrac{3}{5})

🛎️ Converting Between Improper and Mixed Fractions

  • Improper → Mixed: divide the numerator by the denominator.
  • Mixed → Improper: multiply the whole number by the denominator, then add the numerator.

Practice Questions

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Interactive Activity

Practice adding and subtracting fractions algebraically

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