1 / 22

# Fraction Flowchart - PowerPoint PPT Presentation

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.

Related searches for Fraction Flowchart

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about 'Fraction Flowchart' - pascha

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Fraction Flowchart

Decisions and Actions in evaluating fraction problems

Graeme Henchel

http://hench-maths.wikispaces.com

What is the operation?

x,÷

+ , -

+, -

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

+, -

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

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