
Equivalent Fractions Missing Denominator and Numerator
Authored by Barbara White
Mathematics
6th Grade
CCSS covered

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40 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
Read the pattern and find the missing equivalent fraction in each problem. \(\frac{5}{7} = \frac{10}{14} = \frac{15}{21} = \frac{20}{28} = \frac{}{35}\)
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Answer explanation
The missing equivalent fraction is \frac{25}{35} because each numerator is multiplied by 5 to get the next numerator, following the pattern.
Tags
CCSS.3.NF.A.3B
CCSS.4.NF.A.1
2.
OPEN ENDED QUESTION
3 mins • 1 pt
Read the pattern and find the missing equivalent fraction in each problem. \(\frac{1}{3} = \frac{}{9} = \frac{5}{15} = \frac{7}{21} = \frac{9}{27}\)
Evaluate responses using AI:
OFF
Answer explanation
The missing equivalent fraction is 3/9. To find the missing numerator, multiply the denominator by the whole number in the pattern.
Tags
CCSS.3.NF.A.3B
CCSS.4.NF.A.1
3.
OPEN ENDED QUESTION
3 mins • 1 pt
Read the pattern and find the missing equivalent fraction in each problem. \(\frac{9}{2} = \frac{18}{4} = \frac{27}{6} = \frac{36}{8} = \frac{}{10}\)
Evaluate responses using AI:
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Answer explanation
The missing equivalent fraction is \frac{45}{10} because each numerator is multiplied by 9 and the denominator is multiplied by 2 in each step.
Tags
CCSS.3.NF.A.3B
CCSS.4.NF.A.1
4.
OPEN ENDED QUESTION
3 mins • 1 pt
Read the pattern and find the missing equivalent fraction in each problem. \(\frac{8}{5} = \frac{16}{10} = \frac{24}{15} = \frac{}{20} = \frac{40}{25}\)
Evaluate responses using AI:
OFF
Answer explanation
The missing equivalent fraction is 32/20. Each numerator is obtained by multiplying the previous numerator by 2, and the denominator is increased by 5 each time.
Tags
CCSS.3.NF.A.3B
CCSS.4.NF.A.1
5.
OPEN ENDED QUESTION
3 mins • 1 pt
Read the pattern and find the missing equivalent fraction in each problem. \(\frac{1}{6} = \frac{}{12} = \frac{3}{18} = \frac{4}{24} = \frac{5}{30}\)
Evaluate responses using AI:
OFF
Answer explanation
The missing equivalent fraction is 2/12. Each subsequent fraction is obtained by multiplying the numerator and denominator by the next consecutive number starting from 2.
Tags
CCSS.3.NF.A.3B
CCSS.4.NF.A.1
6.
OPEN ENDED QUESTION
3 mins • 1 pt
Read the pattern and find the missing equivalent fraction in each problem. \(\frac{2}{3} = \frac{6}{9} = \frac{10}{15} = \frac{}{21} = \frac{18}{27}\)
Evaluate responses using AI:
OFF
Answer explanation
To find the missing equivalent fraction, continue the pattern by multiplying the numerator and denominator by 3. Therefore, the missing fraction is 15/21.
Tags
CCSS.3.NF.A.3B
CCSS.4.NF.A.1
CCSS.3.NF.A.3A
7.
OPEN ENDED QUESTION
3 mins • 1 pt
Read the pattern and find the missing equivalent fraction in each problem. \(\frac{7}{4} = \frac{14}{8} = \frac{21}{12} = \frac{28}{16} = \frac{}{20}\)
Evaluate responses using AI:
OFF
Answer explanation
The missing equivalent fraction is \frac{35}{20}. Each numerator is obtained by multiplying the previous numerator by 7, and the denominator is increased by 4 each time.
Tags
CCSS.3.NF.A.3B
CCSS.4.NF.A.1
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