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Cross Reducing
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Cross Reducing

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Transcript

  • 1. A Shortcut Using Cross-Division to put our multiplication answers into simplest form quickly.
  • 2. Simplifying Fractions
    • Start with a multiplication statement that looks like it will need to be simplified.
  • 3. Cross Reducing
    • Normally, you would multiply the top numbers and then the top.
    • Then check to see if your fraction is in simplest form.
  • 4. Cross Simplifying
    • Now let’s look to see if we can cross reduce.
    • First check the upper left and lower right corner.
    • Is there any number that can divide evenly into 2 or 5?
    Nope!
  • 5. Cross Simplifying
    • Now let’s look to see if we can cross reduce the other pair.
    • Check the upper right and lower left corners.
    • Is there any number that can divide evenly into 3 or 3?
    Yes! 3
  • 6. Let’s divide
    • Since we can divide three into three at the top and do the same at the bottom, we do it right in the problem.
  • 7. Cross out
    • Cross out the 3’s
    • Divide the bottom left number by 3.
    • Replace the three with a one.
    • Divide the top right number by 3.
    • Replace the three with a one.
    1 1
  • 8. New Problem
    • Multiply the top numbers.
    • Multiply the bottom numbers.
    • It will often be in simplest form after cross reducing and multiplying.
    1 1
  • 9. Watch one
    • Cross out the numbers divisible by 5.
    • Divide the bottom left number by 5.
    • Replace the five with a one.
    • Divide the top right number by 5.
    • Replace the ten with a two.
    1 2
  • 10. New Problem
    • Now proceed with the newly formed problem.
    1 2
  • 11. Try these two.
  • 12. Try these two.
    • Divide the 10 and 15 by 5
    • Make the 6 a fraction.
    • Divide the 2 and 6 by 2.
    3 2 3 1
  • 13. Make a mixed number. 1 -2 1
  • 14. Work on Worksheet F4