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Identify the fraction below.

56

parts shaded

total parts


Equivalent FractionsEquivalent Fractions name the name the same amount but have different same amount but have different numerators and denominators. They numerators and denominators. They are sometimes called are sometimes called equal equal fractionsfractions..

12

= 24

12

1414


Identity Property states that any number multiplied by one equals itself

2 2 4

3 2 6

This is useful to know so you can find a common denominator for adding and subtracting fractions.

1n n


The Giant One is used to find equivalent fractions.

It is used to reduce or simplify fractions.

The giant one works because of the Identity Property.

3 5 15

4 5 20

4 2 2

10 2 5


Many Forms The Giant One

2 213 3

There are an infinite number of ways to write any fraction.2

346

23

69

23

812

122

33

44

55

23... ...23

22 3

3 44

46

69

812

...

Identity PropertyIdentity Property1n n


23

46

23

22


23

46

23

69

23

22 3

3


To find To find equivalent fractionsequivalent fractions multiply multiply the numerator and the denominator by the the numerator and the denominator by the same number.same number.

13

33

39

=GIANT ONE


Find 4 equivalent fractions for the fraction

35

610

35

915

35

1220

35

1525

22

33

44

55


Find 4 equivalent fractions for the fraction

3 7

614

921

1228

1535


To Put Fractions in To Put Fractions in Simplest Simplest

FormForm:: Find the Find the greatest common factorgreatest common factor of of

the numerator and the denominator and the numerator and the denominator and divide both the numerator and the divide both the numerator and the denominator by that number.denominator by that number.

1218

23÷

66 =


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

34

34÷

11 =


Identify each fraction below.

36

33

12

Reduce!


Identify each fraction below.

68

22

34

Reduce!


Simplify the following fractions.161) 40

820

410

25

1640

25

GCF 8

22

22

22

88


Simplify the following fractions.

152) 75

315

15

1575

15

GCF 15

55

33

1515


Simplify the using GCF.

121) 30

162) 24

25

23

66

88


THE END!Take out your study guide.


Equivalent fractions name the same amount or the same part of a whole. You use the giant one to show equivalent fractions.

Ex:

#1

1

2 2

4

A fraction shows:

35

610

35

915

22 3

3

Parts ShadedTotal Parts

NumeratorDenominator


The Giant One is used to reduce or simplify fractions.

#2

4 2 2

10 2 5

16 4 4

20 4 5

To find the simplest form divide the numerator and denominator by the greatest common factor.

12 6 2

18 6 3

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