Section 3.3 1

The following are some examples of fractions:

This way of writing number names is called fraction notation. The top number is called the numerator and the bottom number is called the denominator.

3 13 7 3, , , ,

4 21 6 4

a a

b b

Section 3.3 2

Section 3.3 3

Fractions as RatiosA ratio is a quotient of two quantities. We can express a ratio with fraction notation.

Section 3.3 4

What part of this collection of toys are balls? What part are clowns?

• For the shapes on the left, what is the ratio of:• 1. squares to circles?• 2. circles to the total number of shapes?• 3. pentagons to squares?• 4. total number of shapes to pentagons.

Section 3.3 5

The Number 1 in Fraction Notation

for any integer n that is not 0.

The Number 0 in Fraction Notation

for any integer n that is not 0.

00,

n

Section 3.3 6

A Denominator of 0 is not defined for any integer n.

(When asked to simplify we write undefined.)

0

n

,0

n

Any Integer In Fraction Notation

Any integer divided by 1 is the integer itself That is, for any integer n.,

1

nn

Section 3.3 7

Homework:

Problems 19, 29, 31, 33, 35, 41, 43 – give your answer and justify (in words, drawing, work, etc.) how you got it.

Problems 53, 59, 67 – copy the problem, give your answer (top down). Justify your answer in words.