FractionsFractions

Parts of a FractionParts of a Fraction

3

4

= the number of parts

= the total number of parts that equal a whole

Parts of a FractionParts of a Fraction

3

4

= numerator

= denominator

¾ looks like¾ looks like

1/43

4 1/4

1/4

¾ looks like¾ looks like

1/43

4 1/4

1/4

¾ looks like¾ looks like

3

4

1/4

1/4

1/4

What fraction of the pie is purple? What fraction of the pie is purple?

4

4

What fraction of the musical What fraction of the musical instruments have strings? instruments have strings?

2

5

What fraction of the fish have What fraction of the fish have stripes? stripes?

3

5

What fraction of the arrowsWhat fraction of the arrowshit the bull's-eye? hit the bull's-eye?

1

3

What fraction of the pins areWhat fraction of the pins areknocked down? knocked down?

3

10

Proper fractionProper fraction

1/4

3

41/4

1/4

A fraction in A fraction in which the which the numerator is less numerator is less than the than the denominator.denominator.

Improper FractionImproper Fraction

A fraction in which the numerator is greater than the denominator.

=84

Equivalent FractionsEquivalent Fractions

Name the same amount but have different numerators and denominators.

12

= 24

12

1414

Equivalent Fraction ModelsEquivalent Fraction Models

12

24

36

= =

DefinitionDefinition

Factor – a number that is multiplied by another to give a product.

7 x 8 = 56

Factors

DefinitionDefinition

Factor – a number that divides evenly into another.

56 ÷ 8 = 7

Factor

DefinitionDefinition

Prime Number – a number that has only two factors, itself and 1.

77 is prime because the only numbers

that will divide into it evenly are 1 and 7.

Examples of Prime Examples of Prime NumbersNumbers

2, 3, 5, 7, 11, 13, 17, 19

Special Note:One is not a prime number.

DefinitionDefinition

Composite number – a number that has more than two factors.

8The factors of 8 are 1, 2, 4, 8

Examples of Composite Examples of Composite NumbersNumbers

4, 6, 8, 9, 10, 12, 14, 15

Special Note:Every whole number from 2 on is

either composite or prime.

Our Lonely 1Our Lonely 1

Special Note:One is not a prime nor a composite number.

It is not primebecause it doesnot have exactly

two differentfactors.

It is not composite

because it doesnot have morethan 2 factors.

DefinitionDefinition

Prime Factorization – A way to write a composite number as the product of prime factors.

2 x 2 x 3 = 12or

2 x 3 = 122

Simplest FormSimplest Form

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

34

34÷

11 =

Greatest Common FactorGreatest Common Factor

The greatest common factor is the largest factor between two numbers.

12 = 1, 2, 3, 4, 6, 1218 = 1, 2, 3, 6, 9, 18

How to Find the Simplest Form How to Find the Simplest Form of a Fractionof a Fraction

Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number.

1218

23÷

66 =

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