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Adding and Subtracting Fractions: LCD, Simplification, and Application

Learn how to add and subtract fractions using the least common denominator (LCD) and simplify the answers. Also, practice applying these skills to real-life problems.

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Adding and Subtracting Fractions: LCD, Simplification, and Application

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  1. Transparency 2 Click the mouse button or press the Space Bar to display the answers.

  2. Splash Screen

  3. Example 2-5c Objective Add and subtract fractions

  4. Example 2-5c Review Vocabulary LCD The least common multiple of the denominators of two or more fractions

  5. Lesson 2 Contents Example 1Add and Subtract Like Fractions Example 2Add and Subtract Like Fractions Example 3Add and Subtract Unlike Fractions Example 4Add and Subtract Unlike Fractions

  6. Find Write in simplest form. Example 2-1a Write problem Write the numerators over the same denominator Add numerators Keep denominator Answer: 1/4

  7. Find Answer: Example 2-1b 1/4

  8. Find Write in simplest form. Example 2-2a Write the problem Write the numerators over the same denominator Subtract numerators Find GCF and simplify Answer: 2/4

  9. Find Answer: Example 2-2b 2/4

  10. Find Write in simplest form. Answer: Example 2-3a Write the problem Use calculator to solve problem 3/4

  11. Find Write in simplest form. Answer: Example 2-3c 3/4

  12. Find Write in simplest form. Example 2-4a Write the problem Use calculator to solve problem Answer: 4/4

  13. Find Write in simplest form. Answer: Example 2-4c 4/4

  14. End of Lesson 2 Assignment

  15. ART A picture is mounted on art board that is inch thick. The frame selected for the picture is inch thick. The thickness of the picture is so small that it can be ignored. What thickness of cardboard is needed to hold the picture in place? Example 2-5a Decide what to do and write problem 5/5

  16. Answer: The thickness of the cardboard needed to hold the picture in place is inch. Example 2-5b Find least common denominator LCD = 8 Write proportion and make equivalent fractions x = 8 Subtract the numerators. Keep denominator 5/5

  17. WEATHER Over the weekend inch of rain fell on Saturday and inch of rain fell on Sunday. What was the total rainfall for the weekend? Answer: Example 2-5c * 5/5

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