Simplifying fractions Reduce fractions.pptx

This PowerPoint presentation focuses on teaching and reinforcing the concept of simplifying fractions. It begins by defining a fraction and explaining what it means for a fraction to be in its simplest form. The slides introduce different methods for simplifying fractions, including finding the greatest common divisor (GCD) and using division. Step-by-step examples guide students through the process, ensuring they understand how to break down fractions efficiently. Interactive activities, such as matching games and fill-in-the-blank exercises, provide opportunities for hands-on practice.

A comparative analysis of different methods helps students identify the most efficient strategies for simplifying fractions. Real-world applications, such as working with recipes, measurements, and financial calculations, emphasize the importance of this skill in daily life. Practice problems throughout the presentation reinforce learning, encouraging students to apply their knowledge to a variety of scenarios.

The final slides summarize key takeaways, reviewing the importance of simplifying fractions and how it makes calculations easier. Students are encouraged to test their understanding through quizzes and challenge questions. By the end of the presentation, learners will have a strong grasp of simplifying fractions and be able to apply this concept confidently in mathematical and real-world contexts.

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2. Examine the numerator and denominator to determine if a fraction can be reduced (or simplified). If the numerator and denominator have a common factor, the fraction can be reduced. To Reduce or Not?

3. Let’s Try It! Take a look at these fractions:    First, look at the numerator and denominator. Is there a common factor? 2 8 4 9 2 8 4 9 Yes No

4. Let’s Try It! Since 4 and 9 do not have a common factor, this fraction can not be reduced. Since 2 and 8 have a common factor, this fraction can be reduced. 2 8 4 9

5. Common Factor For the fraction , the common factor of both is 2. So the reduced fraction is: 2 2 8 2 1 4 1 4 2 8 = =

6. Once a fraction has been reduced, it is important to double-check that it is fully simplified. Look at the new fraction to determine if the numerator and denominator have any more common factors. The numbers 1 and 4 have no other common factors, so the fraction is fully-reduced. Double-Check 1 4

7. Try it! 2 3 Can these fractions be reduced? If yes, then reduce them. Click the fractions to reveal the answers. 4 7 5 no no yes yes 12 15 8 1 3 2 3 Next Slide

8. Greatest Common Factor (GCF) Let’s look at another example: The numbers 12 and 16 have common factors. One of the common factors is 2. The fraction can be reduced by dividing the numerator and denominator by 2. The result is: Check to see if the fraction is fully-reduced. It's not! 12 16 6 8

9. Greatest Common Factor (GCF) The numbers 6 and 8 have a common factor of 2. After dividing both the numerator and denominator by 2, the fraction is ¾ . Since 3 and 4 do not have common factors, the fraction is fully-reduced. The fully-reduced fraction could be found in the first place by dividing 12 and 16 by their greatest common factor : 4. When dividing 12 and 16 by 4, the answer is ¾ . It is more efficient to reduce a fraction by the GCF of the numerator and denominator. 6 8

10. Try It ! 6 9 Can these fractions be reduced? If yes, then reduce them. Click the fractions to reveal the answers. 4 12 9 no no yes yes 8 10 5 2 3 1 3 5. Can you get the same answer for reducing a fraction if you use common factors instead of the GCF? Explain. Click this box to reveal the answer. Yes, but it will take longer to divide multiple times. 1. 2. 3. 4. Next Slide