PRE-ALGEBRA

PRE-ALGEBRA

Simplifying Fractions (4-4)

PRE-ALGEBRA

Find two fractions equivalent to .1821

a. 1821

b. 1821

18 • 221 • 2=

18 ÷ 321 ÷ 3

=

=3642

67

=

The fractions and are both equivalent to .67

3642

1821

Simplifying FractionsLESSON 4-4

Additional Examples

PRE-ALGEBRA

You learn that 21 out of the 28 students in a class,

or , buy their lunches in the cafeteria. Write this fraction in

simplest form.

2128

The GCD of 21 and 28 is 7.

2128

21 ÷ 728 ÷ 7

= Divide the numerator and denominator by the GCD, 7.

34

= Simplify.

34

of the students in the class buy their lunches in the cafeteria.

Simplifying FractionsLESSON 4-4

Additional Examples

PRE-ALGEBRA

Write in simplest form.

a.p

2p

p2p

= p1

2p1

Divide the numerator and denominator by the common factor, p.

12

= Simplify.

Simplifying FractionsLESSON 4-4

Additional Examples

PRE-ALGEBRA

(continued)

b. 14q2rs3

8qrs2

= Write as a product of prime factors.

14q2rs3

8qrs2

2 • 7 • q • q • r • s • s • s2 • 2 • 2 • q • r • s • s

21 • 7 • q1 • q • r1 • s1 • s1 • s21 • 2 • 2 • q1 • r1 • s1 • s1

Divide the numerator and denominator by the common factors.

=

Simplify.7 • q • s

2 • 2=

Simplify.7 • q • s

4=

7qs4=

Simplifying FractionsLESSON 4-4

Additional Examples