2.1
Introduction to Fraction and Mixed Numbers
Learning Objectives:
1.
Identify numerator and denominator of a fraction. Review division properties of 0 and 1.
2.
Write a fraction to represent the shaded part of a figure.
3.
Identify proper fractions, improper fractions, and mixed numbers.
4.
Write mixed numbers as improper fractions.
5.
Write improper fractions as mixed numbers or whole numbers.
6.
Key Vocabulary: numerator, denominator, proper fraction, improper fraction, mixed number.
A. Identify numerator and denominator of a fraction. Review division properties of 0 and 1.
Fraction—is an expression of the form
Rules: Let n be any whole number, n ≠ 0 , then
1.
2.
3.
4.
Example 1. Simplify.
1.
0
3
B.
Writing Fractions to represent Shaded Areas of Figures.
2.
5
5
3.
2
0
4.
9
1
Example 2. Write a fraction to represent the shaded part of each figure.
1.
2.
Example 3. Writing Fraction from a Real‐Life Data
Of the nine planets in our solar system, seven are farther from the Sun than Venus is. What
fraction of the planets are farther from the Sun than Venus is?
C.
Identifying proper fractions, improper fractions, and mixed numbers.
Two types of fractions
1. Proper Fraction—is a fraction whose numerator is less than its denominator.
Example:
2.
Improper Fraction— is a fraction whose numerator is grater than or equal to its denominator.
Example:
3.
Mixed Number— is an expression of the form a
b
where a, b and c are any real numbers; c ≠ 0 .
c
Example:
Example 4. Identify each number as a proper fraction, improper fraction, or mixed number.
1.
3
5
2.
6
6
3.
15
13
4.
2
1
3
Example 5. Represent the shaded part of each figure group as both an improper fraction and a
mixed number.
D.
Writing Mixed Numbers as Improper Fractions.
Example 6. Write each mixed number as an improper fraction.
1.
2
5
9
2.
5
7
8
E.
Writing Improper Fractions as Mixed numbers or Whole Numbers.
Example 7. Write each mixed number as an improper fraction or a whole number.
1.
51
7
2.1 (page 119‐123) GW:
Read:
2.
48
4
# 1—97 eoo. (eoo means every other odd: 1, 5, 9, ….)
Sections 2.3, 2.4 and 2.5