Simplifying Fractions

Parts of a Fraction

3

4

= the number of parts

= the total number of parts that equal a whole

Parts of a Fraction

3

4

= numerator

= denominator

Simplest Form

• When the only common factor of the numerator and denominator is 1, the fraction is in simplest form.

34

34÷

11 =

How to Find the Simplest Form of a Fraction

• Find a factor or a GCF of the numerator and the denominator and divide both the numerator and the denominator by that number.

1218

23÷

66 =

1218

69÷

22 = ÷

33

23=

OR

Simplify or Reduce This Fraction

921

37

÷ 33

=

Simplify or Reduce This Fraction

1220

35

÷ 44

=

1220

610

÷ 22

= 35

÷ 22

=

Simplify or Reduce This Fraction

1015

23

÷ 55

=

Simplify or Reduce This Fraction

1016

58

÷ 22

=

Simplify or Reduce This Fraction

1216

34

÷ 44

=

1216

68

÷ 22

= 34

÷ 22

=

ENJOY……….

Please follow along on the notes page in front of you!!

What fraction of the dots are filled in?

9

6

3

2÷ 3

÷ 3=

Filled in dots

Total dots

1.)

1 foot

12 inches

2.) 5 inches is what fraction of a foot?

3.) 8 inches is what fraction of a foot?

4.) 10 inches is what fraction of a foot?

12

5

12

8

3

2

12

106

5

÷ 4÷ 4

=

÷ 2÷ 2

=

1 yard

36 inches

5.) 4 inches is what fraction of a yard?

6.) 18 inches is what fraction of a yard?

36

4

9

1

36

1818

9

÷ 4÷ 4

=

÷ 2÷ 2

=÷ 9÷ 9

=2

1

There are _____ minutes in an hour.

6060

7.) 20 minutes is what fraction of an hour?

8.) 44 minutes is what fraction of an hour?

60

206

2÷ 10÷ 10

=÷ 2÷ 2

=3

1

60

44

30

22÷ 2÷ 2

= ÷ 2÷ 2

=15

11

There are _____ cents in a dollar.

100100

9.) 25 cents is what fraction of a dollar?

10.) 33 cents is what fraction of a dollar ?

11.) 55 cents is what fraction of a dollar?

100

25 ÷ 25÷ 25

=4

1

100

33

100

55 ÷ 5÷ 5

=20

11

There are _____ states in the United States.

5050

12.) Eight states in the U.S.A. begin with the letter M. What fraction of the states begin with a letter M?

50

825

4÷ 2÷ 2

=

““M” M” statesstates

Total Total statesstates

The perimeter is _______ cm.2222

13.) A denim patch has a length of 7 centimeters and a width of 4 centimeters. What fraction of the perimeter is the width ?

22

4

11

2÷ 2

÷ 2=

7 cm7 cm

4 cm4 cm7

7 4 4

22+

widthwidth

perimeterperimeter

Your assignmen

t!• Simplifying Fractions WS

DO YOUR BEST!!!!!