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Fraction Flowchart

Fraction Flowchart. Decisions and Actions in evaluating fraction problems Graeme Henchel http://hench-maths.wikispaces.com. Decision: What is the operation?. What is the operation?. x, ÷. + , -. Decision: Are there Mixed Numbers?. +, -. For example is a mixed number. YES.

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Fraction Flowchart

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  1. Fraction Flowchart Decisions and Actions in evaluating fraction problems Graeme Henchel http://hench-maths.wikispaces.com

  2. Decision: What is the operation? What is the operation? x,÷ + , -

  3. Decision: Are there Mixed Numbers? +, - For example is a mixed number YES Mixed Numbers? NO

  4. +, - ACTION: Evaluate Whole numbers Evaluate the whole number part and keep aside till later 4+3=7

  5. Decision: Are there common Denominators? +, - For example and have the same (common) denominator Common Denominators? YES NO

  6. +, - Action: Find equivalent fractions Find equivalent fractions with common (the same) denominators Multiply by a special form of 1 Multiply by a special form of 1

  7. +, - Action: Add or Subtract the numerators Add (or subtract) the numerators this is the number of parts 2+3=5 Keep the Common Denominator. This is the name of the fraction

  8. +, - Decision: Is the numerator negative? Is numerator negative? YES NO This numerator is negative

  9. +, - Action: Borrow a whole unit Borrow 1 from the whole number part Write it as an equivalent fraction Add this to your negative fraction Remember to adjust your whole number total

  10. +, - Action: Add any whole number part

  11. +, - That’s All Folks

  12. x,÷ Decision: Are there Mixed Numbers? For example is a mixed number YES Mixed Numbers? NO

  13. x,÷ Action: Change to improper fractions OR 4X5=20 and 20+3=23

  14. x,÷ Decision: Is this a X or a ÷ problem? x X or ÷ ? ÷

  15. x,÷ Action: Invert the 2nd Fraction and replace division ÷ with multiply x Invert the 2nd fraction and multiply

  16. x,÷ Decision : Is cancelling Possible? • Do numbers in the numerators and the denominators have common factors Yes Common factors in numerators and denominators No

  17. x,÷ Action Simplify by cancelling 1 1 ÷ 3 ÷ 5 ÷ 3 ÷ 5 2 2

  18. x,÷ ACTION: Multiply the numerators AND the denominators

  19. x,÷ Decision: Is the product improper (top heavy) Yes Is the fraction improper ? (top heavy) No

  20. x,÷ Action: Change to a mixed Number

  21. x,÷ That’s All Folks

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