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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.
Fraction Flowchart

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Fraction flowchart l.jpgSlide 1

Fraction Flowchart

Decisions and Actions in evaluating fraction problems

Graeme Henchel

http://hench-maths.wikispaces.com

Decision what is the operation l.jpgSlide 2

Decision: What is the operation?

What is the operation?

x,÷

+ , -

Decision are there mixed numbers l.jpgSlide 3

Decision: Are there Mixed Numbers?

+, -

For example is a mixed number

YES

Mixed Numbers?

NO

Action evaluate whole numbers l.jpgSlide 4

+, -

ACTION: Evaluate Whole numbers

Evaluate the whole number part and

keep aside till later

4+3=7

Decision are there common denominators l.jpgSlide 5

Decision: Are there common Denominators?

+, -

For example and have the same (common) denominator

Common Denominators?

YES

NO

Action find equivalent fractions l.jpgSlide 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

Action add or subtract the numerators l.jpgSlide 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

Decision is the numerator negative l.jpgSlide 8

+, -

Decision: Is the numerator negative?

Is numerator negative?

YES

NO

This numerator is negative

Action borrow a whole unit l.jpgSlide 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

Action add any whole number part l.jpgSlide 10

+, -

Action: Add any whole number part

That s all folks l.jpgSlide 11

+, -

That’s All Folks

Decision are there mixed numbers12 l.jpgSlide 12

x,÷

Decision: Are there Mixed Numbers?

For example is a mixed number

YES

Mixed Numbers?

NO

Action change to improper fractions l.jpgSlide 13

x,÷

Action: Change to improper fractions

OR

4X5=20

and 20+3=23

Decision is this a x or a problem l.jpgSlide 14

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.jpgSlide 15

x,÷

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

Invert the 2nd fraction and multiply

Decision is cancelling possible l.jpgSlide 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

Action simplify by cancelling l.jpgSlide 17

x,÷

Action Simplify by cancelling

1

1

÷ 3

÷ 5

÷ 3

÷ 5

2

2

Action multiply the numerators and the denominators l.jpgSlide 18

x,÷

ACTION: Multiply the numerators AND the denominators

Decision is the product improper top heavy l.jpgSlide 19

x,÷

Decision: Is the product improper (top heavy)

Yes

Is the fraction

improper ?

(top heavy)

No

Action change to a mixed number l.jpgSlide 20

x,÷

Action: Change to a mixed Number

That s all folks21 l.jpgSlide 21

x,÷

That’s All Folks

Credits l.jpgSlide 22

Credits


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