simplification of fractions and operations on fractions

Review on Fractions

Simplification of Fractions/ Operations on Fractions

Simplifying 10

40

=104

101

104

101 =4

14=

10 = Greatest Common Factor

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

Reduce

Simplifying 72

16

=44

184 =418

=

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

44

184

22

92 =

22

92 29

Repeat the simplification process until all common factors are removed.

Converting Mixed Numbers

153

+= 16

3

15333

Multiply the whole number by the denominator

Add the numerator to the result

Compute the final result

Place over the initial denominator

Converting Mixed Numbers

269

+= 56

9

26999

Multiply the whole number by the denominator

Add the numerator to the result

Compute the final result

Place over the initial denominator

Multiplying

11

10

8

3 =

3 108 11 =

3

4

2 52 11 =

15

44

Fraction Multiplicationbd

ac

d

c

b

a

Fraction Simplification

Multiplying

4

15

3

2 =

2 153 4 =

2

3

3 52 2 =

5

2

Fraction Multiplicationbd

ac

d

c

b

a

Fraction Simplification

Dividing

512

7

3

= ==5

12 3

73 4

573

285

c

d

b

a

d

c

b

a Fraction Division

Fraction Simplification and Multiplication

Dividing

524

15

8

=

=

=5

24 8

153 8

5

91

c

d

b

a

d

c

b

a Fraction Division

Fraction Simplification

54 8

154 =

Mixed Number Conversion

3 58

= 9

Fraction Multiplication

Adding/Subtracting

38 8

138 4

1= =-- 18

882=

c

ba

c

b

c

a Fraction Addition/Subtraction

Fraction Simplification

Adding/Subtracting

2811 2

7+ ++

=

==

Common Denominator = ??????

28

2811

7

244

2811

288

28+11 8 =

2819

c

ba

c

b

c

a Fraction Addition/Subtraction

???728

211

Rules of Fractions Review

• Fraction Simplification

• Mixed Number Conversion

• Fraction Multiplication

• Fraction Division

• Fraction Addition/Subtraction

YOU TRY IT

4

1

8

32

15

4

9

5

15

12

2

3

3

4

12

5

218

165

1345

65

Fractions: Steps for Success

1. Know the fraction rules and how to apply them

2. Show your work and write out each step

3. Check your work for errors or careless mistakes

4

1

8

32 = +19

814

= +198

28

= 218

Mixed Number Conversion

Fraction Addition

Fraction Addition

15

4

9

5 = -25

451245

= 1345

Fraction Subtraction

Fraction Subtraction

15

12

2

3 Fraction Simplification= 3

23

43 5

= 3 2

4 5

= 3 2

2 5

2

3 1

=2

5

=6

5

Fraction Simplification

Fraction Simplification

Fraction Simplification

Fraction Multiplication

3

4

12

5

= 35

434

=35412

Fraction Simplification

Fraction Simplification

Fraction Division

=54

41

=165

Fraction Multiplication