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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. - PowerPoint PPT Presentation

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Fraction Flowchart

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Fraction flowchart l.jpg

Fraction Flowchart

Decisions and Actions in evaluating fraction problems

Graeme Henchel

http://hench-maths.wikispaces.com


Decision what is the operation l.jpg

Decision: What is the operation?

What is the operation?

x,÷

+ , -


Decision are there mixed numbers l.jpg

Decision: Are there Mixed Numbers?

+, -

For example is a mixed number

YES

Mixed Numbers?

NO


Action evaluate whole numbers l.jpg

+, -

ACTION: Evaluate Whole numbers

Evaluate the whole number part and

keep aside till later

4+3=7


Decision are there common denominators l.jpg

Decision: Are there common Denominators?

+, -

For example and have the same (common) denominator

Common Denominators?

YES

NO


Action find equivalent fractions l.jpg

+, -

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 l.jpg

+, -

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 l.jpg

+, -

Decision: Is the numerator negative?

Is numerator negative?

YES

NO

This numerator is negative


Action borrow a whole unit l.jpg

+, -

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 l.jpg

+, -

Action: Add any whole number part


That s all folks l.jpg

+, -

That’s All Folks


Decision are there mixed numbers12 l.jpg

x,÷

Decision: Are there Mixed Numbers?

For example is a mixed number

YES

Mixed Numbers?

NO


Action change to improper fractions l.jpg

x,÷

Action: Change to improper fractions

OR

4X5=20

and 20+3=23


Decision is this a x or a problem l.jpg

x,÷

Decision: Is this a X or a ÷ problem?

x

X or ÷ ?

÷


Action invert the 2 nd fraction and replace division with multiply x l.jpg

x,÷

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

Invert the 2nd fraction and multiply


Decision is cancelling possible l.jpg

x,÷

Decision : Is cancelling Possible?

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

Yes

Common factors

in numerators

and denominators

No


Action simplify by cancelling l.jpg

x,÷

Action Simplify by cancelling

1

1

÷ 3

÷ 5

÷ 3

÷ 5

2

2


Action multiply the numerators and the denominators l.jpg

x,÷

ACTION: Multiply the numerators AND the denominators


Decision is the product improper top heavy l.jpg

x,÷

Decision: Is the product improper (top heavy)

Yes

Is the fraction

improper ?

(top heavy)

No


Action change to a mixed number l.jpg

x,÷

Action: Change to a mixed Number


That s all folks21 l.jpg

x,÷

That’s All Folks


Credits l.jpg

Credits