STANDARD: M6N1

OBJECTIVES:1.Demonstrate and explain the meaning of equivalent fractions2.Find equivalent fractions using a specified multiplier3.Perform tasks associated with finding equal fractions

If this square was cut along the dotted line and you got one piece, what fraction of the square would you have?

If this square was cut along the dotted lines and you got two pieces, what fraction of the square would you have?

In both cases, you will have ½ of the box. This means that ½ and 2/4 are equal. These are EQUIVALENT FRACTIONS.

DRAG TO SEE ANSWERDRAG TO SEE ANSWER

So, how do we define equivalent fractions?•Fractions that represent the same part-to-whole relationship•Fractions that are equal in value

Do the circles show equivalent fractions? Why or why not?

What fraction of the circle is shaded? What fraction of the circle is shaded?

1/4 2/8Drag to see answer

Drag to see answer

How do we find equivalent fractions?How do we find equivalent fractions?You can find equivalent fractions in two ways:

1. You can ALWAYS multiply to find equivalent fractions• Multiply the numerator and the denominator

by the same number2. You can SOMETIMES divide to find equivalent

fractions• If the numerator and denominator has a factor

in common, then you can divide both the numerator and denominator by the common factor.

This is VERY IMPORTANT: Remember, whatever you do to the numerator, you MUST do the same thing

to the denominator.

Multiplying to find equivalent fractions.•Step 1: Choose a multiplier to use. I will use 2 as a multiplier.

This is your multiplier

Step 2: Multiply the original fraction by the multiplier YOU chose.

This means that the fraction ¾ is equivalent to 6/8.

This is VERY IMPORTANT: You can choose any multiplier that you want, but don’t make it too difficult for

yourself to multiply.

Practice finding at least two

equivalent fractions for each.

Dividing to find equivalent fractions•Step 1: Find a factor that the numerator & denominator has in common•Step 2: Divide both the numerator & denominator by the common factor

Since 12 and 18 both have Since 12 and 18 both have 33 as a factor, I as a factor, I will divide both the numerator and will divide both the numerator and denominator by denominator by 3.3. You can also use You can also use 6.6.

Factors of 12: 1, 2, Factors of 12: 1, 2, 33, 4, , 4, 66, 12, 12Factors of 18: 1, 2, Factors of 18: 1, 2, 33, , 66, 9, 12, 9, 12

Practice finding at an equivalent

fraction for each.

1.What are equivalent fractions?

2.How can we find equivalent fractions?