Equivalent Fractions

1
Equivalent Fractions

• 4.3

2
Objective

• You will be able to write equivalent fractions.
• Word watch
• -fraction
• -numerator
• -denominator
• -equivalent fractions
• -simplest form

3
In the real world

• Aquarium There are 10 fish in an aquarium, and 2
  of them are goldfish. What fraction of the fish
  in the aquarium are goldfish?

4
a b

• A fraction is a number of the form (b0)
• where a is called the numerator and b is called
  the denominator.
• A fraction is used to describe equal parts of a
  whole.
• Fractions that represent the same part-to-whole
  relationship are called equivalent fractions.

/
5
Identifying Equivalent Fractions

• The fish in the aquarium described before are
  arranged below. Write two equivalent fractions.

2 10
Number of goldfish Number of total fish

1 5
Number of groups of 2 goldfish Number of groups
of 2

2 10
1 5
The fractions and are equivalent
fractions because they represent the same
part-to-whole relationship.
6
Writing Equivalent Fractions
6 8

• Write two fractions that are equivalent to
• 1) Multiply or divide the numerator and the
  denominator by the same number to find an
  equivalent fraction.

6 x 3 8 x 3
18 24
6 8

Multiply numerator AND Denominator by 3.

6 8
3 4
6 / 2 8 / 2
Divide numerator AND denominator by 2, a
common factor of 6 and 8.


7
(No Transcript)
8
(No Transcript)
9

• A fraction is in simplest form if its numerator
  and denominator have 1 as their GCF.
• To simplify a fraction, you divide its numerator
  and denominator by their GCF.

10
Simplifying Fractions

• Write the fraction in simplest form.

1) Find the GCF of the two numbers 2) Divide
both numerator denominator by the GCF.
8 1 , 2 , 4 , 8
8 28
28 1, 2 , 4 , 7 , 14 , 28
GCF 4
/ 4 / 4
8 28
2 7

11
Simplifying Fractions

• Write the fraction in simplest form.

1) Find the GCF of the two numbers 2) Divide
both numerator denominator by the GCF.
8 1, 2, 4, 8
8 15
15 1, 3, 5 , 15
GCF 1
/ 1 / 1
8 15
8 15
The fraction is in simplest form.

12
? YOUR TURN ?

• Write the fraction in simplest form.

14 1, 2, 7, 14
14 34
34 1, 2, 17, 34
GCF 2
14 34
/ 2 / 2
7 17

13
THOUGHT OF THE DAY!

• A snail can sleep for three years.

z
z
z
14
(No Transcript)