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Reducing Numeric Fractions

Powerpoint 2007: Click on SLIDESHOW, then click on FROM BEGINNING Powerpoint 2003: Click on BROWSE, then click on FULL SCREEN. Reducing Numeric Fractions. Turn Mystery into Mastery. Suggestion: Work with scratch paper and pencil as you go through this presentation. Click to Advance.

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Reducing Numeric Fractions

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  1. Powerpoint 2007: Click on SLIDESHOW, then click on FROM BEGINNING Powerpoint 2003: Click on BROWSE, then click on FULL SCREEN Reducing Numeric Fractions Turn Mystery into Mastery Suggestion: Work with scratch paper and pencil as you go through this presentation. Click to Advance C2006 – DW Vandewater

  2. What if we could look at a simplified form of both numbers? • Figure out the prime factors of both. • Do any factors cancel out? Cancel them. • Write the remaining factors. • Multiply the tops. • Multiply the bottoms. • That’s the simplest form of the fraction! Click to Advance

  3. What is the Key Skill? • Prime Factorization! • (A big name for a simple process …) • Finding out how to write a number as the product of it’s prime factors. • Examples: • 6 = 2∙3 • 70 = 2∙5∙7 • 24 = 2∙2∙2∙3 • 13=13 because 13 is prime (no other factors) Click to Advance

  4. Practice:Let’s Reduce a Fraction • Here’s the problem -> • Find the prime factors of 48 • Find the prime factors of 144 • Rewrite the fraction w/ primes • Cancel matching factors • Rewrite the fraction • Multiply top & bottom, if necessary • That is the simplest form Click to Advance

  5. Practice:Let’s Reduce a Bigger Fraction • Here’s the problem -> • Find the prime factors of 1848 • Find the prime factors of 990 • Rewrite the fraction • Cancel matching factors • Rewrite the fraction • Multiply top & bottom • That is the simplest form Click to Advance

  6. More Practice • See if you can find the simplest forms.Do the work on paper and click to see the answer Click to Advance

  7. Thank You • For Learning about • Prime Factorization • Reducing Numeric fractions

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