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Fractions. Rules for Avoiding Common Errors. Simplifying . Reduce . =. =. =. 10 = Greatest Common Factor. Write the numerator and denominator as a product of factors, then cancel common factors and obtain the result. . Simplifying . =. =. =. =.

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Presentation Transcript
fractions

Fractions

Rules for

Avoiding Common Errors

simplifying
Simplifying

Reduce

=

=

=

10 = Greatest Common Factor

Write the numerator and denominator as a product of factors, then cancel common factors and obtain the result.

simplifying3
Simplifying

=

=

=

=

Write the numerator and denominator as a product of common factors then cancel the common factors and obtain the result.

Repeat the simplification process until all common factors are removed.

converting mixed numbers
Converting Mixed Numbers

1

1

5

5

3

3

3

3

+

16

=

3

Multiply the whole number by the denominator

Add the numerator to the result

Place over the initial denominator

Compute the final result

converting mixed numbers5
Converting Mixed Numbers

2

2

6

6

9

9

9

9

+

56

=

9

Multiply the whole number by the denominator

Add the numerator to the result

Place over the initial denominator

Compute the final result

multiplying

3

10

2

5

15

8

11

44

Multiplying

3

=

=

=

11

4

2

Fraction Multiplication

Fraction Simplification

multiplying7

2

15

3

5

5

2

3

4

2

2

Multiplying

2

=

=

=

3

Fraction Multiplication

Fraction Simplification

dividing

Fraction Division

Dividing

3

3

12

12

28

7

3

4

=

=

=

3

5

7

7

5

5

5

Fraction Simplification and Multiplication

dividing9

Fraction Division

4

8

Dividing

4

=

5

15

8

8

24

24

3

5

3

8

=

=

8

5

15

15

5

5

9

=

=

9

1

Fraction Simplification

Fraction Multiplication

Mixed Number Conversion

adding subtracting

Fraction Addition/Subtraction

Adding/Subtracting

Fraction Simplification

3

3

1

1

2

1

-

-

=

=

=

8

8

8

8

8

4

8

adding subtracting11

11

11

8

28

28

28

19

11

+

8

28

Fraction Addition/Subtraction

Adding/Subtracting

11

2

2

4

=

+

+

+

=

28

7

7

4

=

=

28

28

Common Denominator = ??????

rules of fractions review
Rules of Fractions Review
  • Fraction Simplification
  • Mixed Number Conversion
  • Fraction Multiplication
  • Fraction Division
  • Fraction Addition/Subtraction
you try it

21

13

8

45

5

6

16

5

YOU TRY IT
fractions steps for success
Fractions: Steps for Success
  • Know the fraction rules and how to apply them
  • Show your work and write out each step
  • Check your work for errors or careless mistakes
slide15

19

1

=

+

8

4

19

2

=

+

8

8

21

=

8

Mixed Number Conversion

Fraction Addition

Fraction Addition

slide16

25

12

=

-

45

45

13

45

Fraction Subtraction

=

Fraction Subtraction

slide17

3

3

4

=

2

3

5

3

4

=

2

5

2

3

2

=

2

5

3

2

=

1

5

6

=

5

Fraction Simplification

Fraction Simplification

Fraction Simplification

Fraction Simplification

Fraction Multiplication

slide18

5

3

=

12

4

5

3

=

3

4

4

5

1

=

4

4

5

=

16

Fraction Division

Fraction Simplification

Fraction Simplification

Fraction Multiplication