Slide 1 Fraction Flowchart

Decisions and Actions in evaluating fraction problems

Graeme Henchel

http://hench-maths.wikispaces.com

Slide 2 ### Decision: What is the operation?

What is the operation?

x,÷

+ , -

Slide 3 ### Decision: Are there Mixed Numbers?

+, -

For example is a mixed number

YES

Mixed Numbers?

NO

Slide 4 +, -

### ACTION: Evaluate Whole numbers

Evaluate the whole number part and

keep aside till later

4+3=7

Slide 5 ### Decision: Are there common Denominators?

+, -

For example and have the same (common) denominator

Common Denominators?

YES

NO

Slide 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

Slide 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

Slide 8 +, -

### Decision: Is the numerator negative?

Is numerator negative?

YES

NO

This numerator is negative

Slide 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

Slide 10 +, -

### Action: Add any whole number part

Slide 11 Slide 12 x,÷

### Decision: Are there Mixed Numbers?

For example is a mixed number

YES

Mixed Numbers?

NO

Slide 13 x,÷

### Action: Change to improper fractions

OR

4X5=20

and 20+3=23

Slide 14 x,÷

### Decision: Is this a X or a ÷ problem?

x

X or ÷ ?

÷

Slide 15 x,÷

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

Invert the 2nd fraction and multiply

Slide 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

Slide 17 x,÷

### Action Simplify by cancelling

1

1

÷ 3

÷ 5

÷ 3

÷ 5

2

2

Slide 18 x,÷

### ACTION: Multiply the numerators AND the denominators

Slide 19 x,÷

### Decision: Is the product improper (top heavy)

Yes

Is the fraction

improper ?

(top heavy)

No

Slide 20 x,÷

### Action: Change to a mixed Number

Slide 21 Slide 22 ### Credits