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Section 4.1

- Introduction to Fractions

Identifying FractionComponents

- Numerator - The value above the fraction bar.
- Denominator - The value below the fraction bar.
- Example

The numerator is 9 The denominator is 11

- Other Examples

- Recall that
- The fraction bar means divide.
- We cant divide by zero so the denominator cannot

be zero.

Writing Fractions to Represent Shaded Areas of

Figures

- Write a fraction for each shaded area

shown below.

- Draw and shade a part of a figure to represent

each of the following fractions.

Writing Fractions from Real-Life Data

- Of the nine planets, seven are farther from the

sun than Venus is. What fraction of the planets

are farther from the sun than Venus is? - Six out of seventeen of a schools course

offerings are electives. Find the fraction of the

schools course offerings that are non-electives.

Graphing Fractions on the Number Line

- Step 1 Divide up the distance from 0 to 1 into

equal parts with the number of equal parts the

same as the denominator value. - Step 2 Start at 0 and count to the right the

number of parts in the numerator value. - Step 3 Put a dot ON the number line at this

place. - Note If the numerator is larger than the

denominator, divide up the distance between

subsequent integers as in step 1.

Graph each fraction on a number line

Simplifying Fractions of the Form a/a, a/1, and

0/a

- a/a 1 as long as a ? 0
- a/1 a
- 0/a 0 as long as a ? 0
- a/0 undefined (because we cant divide by zero)

- Writing Equivalent Fractions
- To write equivalent fractions, we can
- Multiply the numerator and denominator by the

same value. - Divide the numerator and the denominator by the

same value. - Examples

Now try these!

- Write

as an equivalent fraction with a denominator of

12.

Write

as a fraction with a denominator of 44.

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