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Powerpoint 2007: Click on SLIDESHOW, then click on FROM BEGINNING Powerpoint 2003: Click on BROWSE, then click on FULL SCREEN Reducing Numeric Fractions Suggestion: 140 ? 875 Work with scratch paper and pencil as you go through this presentation. Turn Mystery into Mastery Click to Advance C2006 – DW Vandewater What if we could look at a simplified form of both numbers? 140 (2)( 2)(5)(7) (2)( 2) 4 875 (5)(5)(5)(7) (5)(5) 25 1. 2. 3. 4. 5. 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 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 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 48 144 48 /\ 2 24 / \ 2 12 /\ 2 6 /\ 2 3 14 4 / \ 2 72 / \ 2 36 /\ 6 6 /\ /\ 2 3 2 3 22223 2 2 2 233 1 3 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 1848 990 1848 2 924 2 2 462 2 2 2 231 2 2 2 3 77 2 2 2 3 7 11 2 2 2 3 7 11 2 3 3 5 11 227 35 28 15 990 2 495 2 3 165 2 3 3 55 2 3 3 5 11 More Practice See if you can find the simplest forms. Do the work on paper and click to see the answer 252 2 2 3 3 7 2 3 3 18 70 257 5 5 2145 3 5 1113 5 11 55 39 3 13 1 91 7 13 13 13 462 2 3 7 11 2 3 11 66 59 59 both prime 101 101 Click to Advance Thank You For Learning about ◦ Prime Factorization ◦ Reducing Numeric fractions