Finding Equivalent Fractions

Select all the options that are true.

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Select all the options that are true.

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Here is how Julep found an equivalent fraction for $\frac{1}{9}.$  

 $\frac{1+1}{9+1}=\frac{2}{10}$  

Was Julep right? 

• No. You just add to the denominator, not the numerator.

• Yes. You can add 1 to any fraction and not change it.

• No. You multiply the numerator and the denominator by the same number to find an equivalent fraction.

• Yes. You can add the same number to the numerator and denominator and not change the fraction.

Here is how Jack found an equivalent fraction for  $\frac{6}{12}.$  
 $\frac{6-1}{12-1}=\frac{5}{11}$  
Was Jack right?

• Yes. You subtract the same number from the numerator and denominator to find an equivalent fraction.

• No. You divide the the numerator and the denominator by the same number to find an equivalent fraction.

• No. You just subtract from the denominator, not the numerator.

• Yes. You can subtract 1 from any fraction and not change it.

Complete the missing values to make equivalent fractions. $\frac{3}{7}=\frac{Box\ A}{14}=\frac{9}{Box\ B}=\frac{12}{Box\ C}$  

• Box A = 10
  Box B = 13
  Box C = 16

• Box A = 6
  Box B = 21
  Box C = 28

• Box A = 6
  Box B = 13
  Box C = 16

• Box A = 7
  Box B = 18
  Box C = 24

Find the missing numerator to complete the equivalent fraction.
 $\frac{48}{32}=\frac{?}{2}$  

• 18

• 16

• 4

• 3

 $\frac{3\times5}{5\times?}=\frac{15}{?}$  
Which equation shows a fraction equivalent to $\frac{3}{5}$ ?

•  $\frac{3\times5}{5\times5}=\frac{15}{10}$  

•  $\frac{3\times5}{5\times5}=\frac{15}{25}$  

•  $\frac{3\times5}{5\times7}=\frac{15}{35}$  

•  $\frac{3\times5}{5\times15}=\frac{15}{75}$  

 $\frac{2\times2}{7\times?}=\frac{4}{?}$  
Which equation shows a fraction equivalent to $\frac{2}{7}$ ?

•  $\frac{2\times2}{7\times2}=\frac{4}{9}$  

•  $\frac{2\times2}{7\times2}=\frac{4}{14}$  

•  $\frac{2\times2}{7\times4}=\frac{4}{28}$  

•  $\frac{2\times2}{7\times7}=\frac{4}{49}$  

 $\frac{7}{8}=\frac{28}{?}$  
What is the missing number? Explain your answer.

• 12, because 8 + 4 = 12.

• 35, because 28 + 7 = 35.

• 32, because 7 × 4 = 28 and 8 × 4 = 32.

• 29, because 7 + 1 = 8 and 28 + 1 = 29.

Select all the fractions that are equivalent to $\frac{4}{20}.$  

•  $\frac{4}{5}$  

•  $\frac{2}{10}$  

•  $\frac{6}{22}$  

•  $\frac{8}{40}$