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Fraction Flowchart PowerPoint PPT Presentation


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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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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

Mixed Numbers?

NO


+, -

ACTION: Evaluate Whole numbers

Evaluate the whole number part and

keep aside till later

4+3=7


Decision: Are there common Denominators?

+, -

For example and have the same (common) denominator

Common Denominators?

YES

NO


+, -

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


+, -

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


+, -

Decision: Is the numerator negative?

Is numerator negative?

YES

NO

This numerator is negative


+, -

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


+, -

Action: Add any whole number part


+, -

That’s All Folks


x,÷

Decision: Are there Mixed Numbers?

For example is a mixed number

YES

Mixed Numbers?

NO


x,÷

Action: Change to improper fractions

OR

4X5=20

and 20+3=23


x,÷

Decision: Is this a X or a ÷ problem?

x

X or ÷ ?

÷


x,÷

Action: Invert the 2nd Fraction and replace division ÷ with multiply x

Invert the 2nd fraction and multiply


x,÷

Decision : Is cancelling Possible?

  • Do numbers in the numerators and the denominators have common factors

Yes

Common factors

in numerators

and denominators

No


x,÷

Action Simplify by cancelling

1

1

÷ 3

÷ 5

÷ 3

÷ 5

2

2


x,÷

ACTION: Multiply the numerators AND the denominators


x,÷

Decision: Is the product improper (top heavy)

Yes

Is the fraction

improper ?

(top heavy)

No


x,÷

Action: Change to a mixed Number


x,÷

That’s All Folks


Credits


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