Equivalent Fractions

Equivalent Fractions

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Equivalent Fractions are fractions that have the same value...but are cut into different sized pieces.

​1/2 = 2/4 = 3/6 = 4/8

These fractions are equal because they all cover the exact same amount of space.

​To find an equivalent fraction, you must multiply or divide by a form of "1". (2/2 = 1, 3/3 = 1...etc.) This means that if you multiply or divide the top and the bottom by the same number, you will make a fraction equal to the first.

Find the missing numerator or denominator in equivalent fractions.

*Multiply or divide by a form of 1.

​Answers:

2/2 = 4/4... (x 2/2)

4/8 = 1/2..... (divide by 2/2)

3/4 = 6/8...(x 2/2)

2/3 = 6/9...(x 3/3)

4/12 = 2/6...(divide by 2/2)

1/5 = 2/10...(x 2/2)

Fill in the Blank

What is the missing number for the following equivalent fractions?

$$\frac{3}{5}\ =\ \frac{9}{?}$$  

Fill in the Blank

What is the missing number for the following equivalent fractions?

$$\frac{1}{2}\ =\ \frac{?}{14}$$  

Fill in the Blank

What is the missing number for the following fraction?

$$\frac{2}{5}\ =\ \frac{?}{10}$$  

Multiple Choice

Are the fractions equivalent?

• Yes
• No

Multiple Choice

What is the missing denominator? $$\frac{3}{5}=\frac{12}{ }$$  

• 20

• 4

• 25

• 15

Multiple Choice

What is the missing numerator? $$\frac{2}{3}=\frac{ }{12}$$  

• 4

• 2

• 6

• 8

Multiple Choice

Find the missing numerator: $$\frac{10}{15}=\frac{?}{3}$$

• 5

• 2

• 1

• 20

Multiple Choice

Which picture shows 1/2?

• green
• blue
• purple
• pink

Multiple Choice

²/_{5 is equivalent to which other fraction?}

• ⁵/₁₀

• ⁶/₁₂

• ⁶/₁₅

• ¹⁰/₁₅

Multiple Choice

Which fraction is equivalent to 1 (1 whole)?

• 1/2

• 1/10

• 5/5

• 5/1

Multiple Choice

$$\frac{2}{3}\ \ \rightarrow\ \ \frac{6}{9}$$   What was the numerator and denominator multiplied by?

• $$\frac{\times5}{\times5}$$  

• $$\frac{\times4}{\times4}$$  

• $$\frac{\times3}{\times3}$$  

• $$\frac{\times2}{\times2}$$  

Multiple Select

What fractions are equivalent to  $$\frac{4}{10}$$  ? (There may be more than one.)

• $$\frac{2}{5}$$  

• $$\frac{2}{3}$$  

• $$\frac{8}{20}$$  

• $$\frac{12}{28}$$  

Multiple Choice

Which of the following is an equivalent fraction to 

$$\frac{5}{6}$$  ?

• $$\frac{9}{12}$$  

• $$\frac{10}{12}$$  

• $$\frac{8}{12}$$  

• $$\frac{14}{18}$$  

Multiple Choice

What fraction of the circles are BLUE?

Hint: Find an equivalent fraction.

• $$\frac{1}{2}$$

• $$\frac{1}{3}$$

• $$\frac{2}{3}$$

• $$\frac{3}{4}$$

Multiple Choice

What fraction of the rectangle is blue?

Hint: find an equivalent fraction.

• 1/6

• 1/3

• 6/2

• 2/3

​To see if fractions are equal, you can cross multiply. For example...since 12 x 3 equals 36 and 9 x 4 equals 36...these fractions are equal.

Multiple Choice

Is $$\frac{4}{6}$$ equivalent to  $$\frac{6}{9}$$ ? 

• yes

• no