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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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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

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