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Basic Arithmetic : Multiplication with Fractions

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Example Questions

Example Question #181 : Fractions

Multiply these fractions:

$\frac{4}{9}*\frac{3}{7}$

Possible Answers:

$\frac{6}{21}$

$\frac{5}{21}$

$\frac{4}{21}$

$\frac{3}{21}$

Correct answer:

$\frac{4}{21}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{4}{9}*\frac{3}{7}=\frac{4*3}{9*7}=\frac{12}{63}$

Simply the fraction to get the final answer:

$\frac{12}{63}\div \frac{3}{3}=\frac{4}{21}$

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Example Question #11 : Operations With Fractions

Multiply these fractions:

$\frac{1}{10}*\frac{2}{5}$

Possible Answers:

$\frac{1}{50}$

$\frac{3}{25}$

$\frac{2}{25}$

$\frac{1}{25}$

Correct answer:

$\frac{1}{25}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{10}*\frac{2}{5}=\frac{1*2}{10*5}=\frac{2}{50}$

Simply the fraction to get the final answer:

$\frac{2}{50}\div \frac{2}{2}=\frac{1}{25}$

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Example Question #11 : Multiplication With Fractions

Multiply these fractions:

$\frac{1}{12}*\frac{4}{5}$

Possible Answers:

$\frac{1}{15}$

$\frac{4}{15}$

$\frac{2}{15}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{15}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{12}*\frac{4}{5}=\frac{1*4}{12*5}=\frac{4}{60}$

Simply the fraction to get the final answer:

$\frac{4}{60}\div \frac{4}{4}=\frac{1}{15}$

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Example Question #12 : Multiplication With Fractions

Multiply these fractions:

$\frac{1}{4}*\frac{6}{7}$

Possible Answers:

$\frac{3}{14}$

$\frac{1}{14}$

$\frac{2}{7}$

$\frac{5}{14}$

Correct answer:

$\frac{3}{14}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{4}*\frac{6}{7}=\frac{1*6}{4*7}=\frac{6}{28}$

Simply the fraction to get the final answer:

$\frac{6}{28}\div \frac{2}{2}=\frac{3}{14}$

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Example Question #13 : Multiplication With Fractions

Multiply these fractions:

$\frac{12}{17}*\frac{5}{4}$

Possible Answers:

$\frac{14}{17}$

$\frac{13}{17}$

$\frac{16}{17}$

$\frac{15}{17}$

Correct answer:

$\frac{15}{17}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{12}{17}*\frac{5}{4}=\frac{12*5}{17*4}=\frac{60}{68}$

Simply the fraction to get the final answer:

$\frac{60}{68}\div \frac{4}{4}=\frac{15}{17}$

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Example Question #14 : Multiplication With Fractions

Multiply these fractions:

$\frac{8}{9}*\frac{3}{4}$

Possible Answers:

$\frac{2}{3}$

$\frac{1}{3}$

$1\frac{2}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{8}{9}*\frac{3}{4}=\frac{8*3}{9*4}=\frac{24}{36}$

Simplify the fraction to get the final answer:

$\frac{24}{36}\div \frac{6}{6}=\frac{4}{6}\div \frac{2}{2}=\frac{2}{3}$

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Basic Arithmetic : Multiplication with Fractions

Study concepts, example questions & explanations for Basic Arithmetic

All Basic Arithmetic Resources

Example Questions

Example Question #181 : Fractions

Example Question #11 : Operations With Fractions

Example Question #11 : Multiplication With Fractions

Example Question #12 : Multiplication With Fractions

Example Question #13 : Multiplication With Fractions

Example Question #14 : Multiplication With Fractions

All Basic Arithmetic Resources

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