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Algebra II : Multiplying and Dividing Fractions

Study concepts, example questions & explanations for Algebra II

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Example Question #51 : Multiplying And Dividing Fractions

Multiply the fractions:

$\frac{7}{8}\cdot\frac{1}{2}$

Possible Answers:

$\frac{3}{8}$

$\frac{7}{16}$

$\frac{5}{16}$

$\frac{13}{16}$

Correct answer:

$\frac{7}{16}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{7}{8}\cdot \frac{1}{2}=\frac{7}{16}$

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Example Question #52 : Multiplying And Dividing Fractions

Multiply the fractions:

$\frac{1}{6}\cdot \frac{1}{6}$

Possible Answers:

$\frac{3}{36}$

$\frac{1}{6}$

$\frac{1}{12}$

$\frac{1}{36}$

Correct answer:

$\frac{1}{36}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{1}{6}\cdot \frac{1}{6}=\frac{1}{36}$

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Example Question #53 : Multiplying And Dividing Fractions

Multiply the fractions:

$\frac{3}{5}\cdot \frac{5}{7}$

Possible Answers:

$\frac{6}{7}$

$\frac{5}{7}$

$\frac{4}{7}$

$\frac{3}{7}$

Correct answer:

$\frac{3}{7}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{3}{5}\cdot \frac{5}{7}=\frac{15}{35}\div \frac{5}{5}=\frac{3}{7}$

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Example Question #54 : Multiplying And Dividing Fractions

Divide the fractions:

$\frac{1}{2}\div \frac{1}{3}$

Possible Answers:

$\frac{1}{5}$

$\frac{1}{4}$

$1\frac{1}{2}$

$1\frac{1}{6}$

Correct answer:

$1\frac{1}{2}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{1}{2}\div \frac{1}{3}=\frac{1}{2}\cdot \frac{3}{1}=\frac{3}{2}=1\frac{1}{2}$

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Example Question #55 : Multiplying And Dividing Fractions

Divide the fractions:

$\frac{7}{9}\div \frac{5}{6}$

Possible Answers:

$\frac{4}{15}$

$1\frac{1}{15}$

$\frac{14}{15}$

Correct answer:

$\frac{14}{15}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{7}{9}\div \frac{5}{6}=\frac{7}{9}\cdot \frac{6}{5}=\frac{42}{45}\div \frac{3}{3}=\frac{14}{15}$

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Example Question #56 : Multiplying And Dividing Fractions

Divide the fractions:

$\frac{2}{5}\div \frac{3}{4}$

Possible Answers:

$\frac{7}{15}$

$\frac{8}{15}$

$\frac{13}{15}$

$1\frac{4}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{2}{5}\div \frac{3}{4}=\frac{2}{5}\cdot \frac{4}{3}=\frac{8}{15}$

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Example Question #57 : Multiplying And Dividing Fractions

Divide the fractions:

$\frac{3}{5}\div \frac{4}{7}$

Possible Answers:

$1\frac{3}{20}$

$\frac{11}{20}$

$1\frac{1}{20}$

$\frac{19}{20}$

Correct answer:

$1\frac{1}{20}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{3}{5}\div \frac{4}{7}=\frac{3}{5}\cdot \frac{7}{4}=\frac{21}{20}=1\frac{1}{20}$

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Example Question #58 : Multiplying And Dividing Fractions

Divide the fractions:

$\frac{2}{7}\div \frac{3}{21}$

Possible Answers:

$\frac{2}{7}$

$\frac{1}{2}$

$1\frac{1}{3}$

Correct answer:

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{2}{7}\div \frac{3}{21}=\frac{2}{7}\cdot \frac{21}{3}=\frac{42}{21}=2$

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Example Question #59 : Multiplying And Dividing Fractions

Divide the fractions:

$\frac{7}{8}\div \frac{3}{4}$

Possible Answers:

$1\frac{5}{6}$

$\frac{1}{6}$

$1\frac{1}{6}$

Correct answer:

$1\frac{1}{6}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{7}{8}\div \frac{3}{4}=\frac{7}{8}\cdot \frac{4}{3}=\frac{28}{24}\div \frac{4}{4}=\frac{7}{6}=1\frac{1}{6}$

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Example Question #60 : Multiplying And Dividing Fractions

Multiply:

$\frac{5}{6}\cdot \frac{2}{50}$

Possible Answers:

$\frac{7}{30}$

$\frac{10}{13}$

$\frac{1}{3}$

$\frac{1}{30}$

Correct answer:

$\frac{1}{30}$

Explanation:

Remember, when multiplying fractions, multiply straight across.

But first, try to see if you can reduce diagonally. You can in this case.

Then, multiply across to get your answer of $\frac{1}{30}$ .

Make sure it's in simplest form.

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Algebra II : Multiplying and Dividing Fractions

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #51 : Multiplying And Dividing Fractions

Example Question #52 : Multiplying And Dividing Fractions

Example Question #53 : Multiplying And Dividing Fractions

Example Question #54 : Multiplying And Dividing Fractions

Example Question #55 : Multiplying And Dividing Fractions

Example Question #56 : Multiplying And Dividing Fractions

Example Question #57 : Multiplying And Dividing Fractions

Example Question #58 : Multiplying And Dividing Fractions

Example Question #59 : Multiplying And Dividing Fractions

Example Question #60 : Multiplying And Dividing Fractions

All Algebra II Resources

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