# 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

+, -

+, -

x,÷

### Decision: Are there Mixed Numbers?

For example is a mixed number

YES

Mixed Numbers?

NO

x,÷

OR

4X5=20

and 20+3=23

x,÷

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,÷

1

1

÷ 3

÷ 5

÷ 3

÷ 5

2

2

x,÷

x,÷

Yes

Is the fraction

improper ?

(top heavy)

No

x,÷

x,÷