Equivalent Fractions

Unit 4.5 Pages 180-184

1. 8 =

2. 10 =

3. 16 =

4. 20 =

1, 2, 4, 8

1, 2, 5, 10

1, 2, 4, 8, 16

1, 2, 4, 5, 10, 20

Warm Up Problems

List the factors of each number

Equivalent Fractions

Objective: Students will be able to write equivalent fractions and mixed numbers.We will model them, multiply and divide them, as well as reduce them into simplest form by finding the G.C.F.

Definitions:

Equivalent Fractions: Fractions that may be written with different denominators, but equal the same amounts when simplified.

Simplest Form : is when both the numerator, and the denominator is reduced into greatest common factors.

Equivalent: means EQUAL

24

12

48

We will be using math disks to show how many different fractions can be equivalent (or equal) to each other.

How many pieces are

in the WHOLE

How many pieces are

used or needed.

How many pieces are

in the WHOLE

How many pieces are

used or needed.

How many pieces are

in the WHOLE

How many pieces are

used or needed.

Each fraction below is EQUIVILENT (or) equal!How many more can you find!

What equivalent fractions were found?

1/2

3/4

3/12

1

When finding equivalent factors we take the same shaded shape and continue to break it into smaller equal pieces.

3468 912

How many pieces we used or needed

How many pieces are in the whole

Numerator represents shaded pieces

Denominator represents wholesNow we can reduce the fraction…

#37) write the equivalent fractions for the picture below:

=

______ = ______

#38) write the equivalent fractions for the picture below:

=

______ = ______

#40) write the equivalent fractions for the picture below:

=

______ = ______

Homework(4.5) Challenge 4-5

Due: Tuesday

match the fractions worksheet.

Equivalent FractionsDay 2.

Unit 4.5 Pages 180-184

1. 2 3

2. 4 8

Warm Up Problems

Draw two equivalent fractions for the fractions listed below:

We can find equal fractions by changing the denominator of the fraction.

46

MultiplyDivide

#2) find two equivalent fractions for each fraction.

MultiplyDivide

312

#3) find two equivalent fractions for each fraction.

MultiplyDivide

3 6

#4) find two equivalent fractions for each fraction.

Divide

618

Divide

We find the missing number that make the fractions equivalent by finding the difference between the

numerator or denominator.

25

10=X ____ =

X ____ = 25

#6) Find the missing number that makes the fraction equivalent. How do we make a 7 turn into a 1?

721

1= ____ =

____ = 3

#7) Find the missing number that makes the fraction equivalent. How do we make a 4 turn into a 28?

3 4

__28

=X ____ =

X ____ =

21

#8) Find the missing number that makes the fraction equivalent. How do we make a 12 turn into a 3?

812

__ 3

= ____ =

____ =

2

When we rewrite a fraction in its simplest formWe need to factor the numerator and denominator

into Greatest Common Factors

210

==

=

1 5

#10) Write each fraction in simplest form.

618

==

=

1 3

#11) Write each fraction in simplest form.

416

==

=

1 4

#12) Write each fraction in simplest form.

915

==

=

3 5

Homework(4.5) page 182

Due: Wednesday

17-24 29-32 (12 total questions)

0.24 6.75

6/25

4

6 3/4

Write each decimal as a fraction.

2 3/5

22

Write as a decimal. 7/8