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ISEE Middle Level Math : How to multiply fractions

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Example Questions

Example Question #51 : How To Multiply Fractions

Multiply the following:

$\frac{5}{7} \cdot \frac{1}{4}$ $\displaystyle \frac{5}{7} \cdot \frac{1}{4}$

Possible Answers:

$\frac{5}{28}$ $\displaystyle \frac{5}{28}$

$\frac{6}{11}$ $\displaystyle \frac{6}{11}$

$\frac{6}{28}$ $\displaystyle \frac{6}{28}$

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$

$\frac{27}{28}$ $\displaystyle \frac{27}{28}$

Correct answer:

$\frac{5}{28}$ $\displaystyle \frac{5}{28}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

$\frac{5}{7} \cdot \frac{1}{4}$ $\displaystyle \frac{5}{7} \cdot \frac{1}{4}$

$\frac{5 \cdot 1}{7 \cdot 4}$ $\displaystyle \frac{5 \cdot 1}{7 \cdot 4}$

$\frac{5}{28}$ $\displaystyle \frac{5}{28}$

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Example Question #382 : Numbers And Operations

Multiply the following:

$\frac{1}{3} \cdot \frac{2}{7}$ $\displaystyle \frac{1}{3} \cdot \frac{2}{7}$

Possible Answers:

$\frac{1}{7}$ $\displaystyle \frac{1}{7}$

$\frac{2}{21}$ $\displaystyle \frac{2}{21}$

$\frac{3}{21}$ $\displaystyle \frac{3}{21}$

$\frac{3}{10}$ $\displaystyle \frac{3}{10}$

$\frac{13}{21}$ $\displaystyle \frac{13}{21}$

Correct answer:

$\frac{2}{21}$ $\displaystyle \frac{2}{21}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT have to find a common denominator.

So, we get

$\frac{1}{3} \cdot \frac{2}{7}$ $\displaystyle \frac{1}{3} \cdot \frac{2}{7}$

$\frac{1 \cdot 2}{3 \cdot 7}$ $\displaystyle \frac{1 \cdot 2}{3 \cdot 7}$

$\frac{2}{21}$ $\displaystyle \frac{2}{21}$

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Example Question #382 : Numbers And Operations

Multiply the following:

$\frac{3}{4} \cdot \frac{1}{4}$ $\displaystyle \frac{3}{4} \cdot \frac{1}{4}$

Possible Answers:

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$

$\displaystyle 2$

$\frac{4}{8}$ $\displaystyle \frac{4}{8}$

$\frac{3}{16}$ $\displaystyle \frac{3}{16}$

$\displaystyle 1$

Correct answer:

$\frac{3}{16}$ $\displaystyle \frac{3}{16}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

So, we will multiply:

$\frac{3}{4} \cdot \frac{1}{4}$ $\displaystyle \frac{3}{4} \cdot \frac{1}{4}$

$\frac{3 \cdot 1}{4 \cdot 4}$ $\displaystyle \frac{3 \cdot 1}{4 \cdot 4}$

$\frac{3}{16}$ $\displaystyle \frac{3}{16}$

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Example Question #231 : Fractions

Multiply the following:

$\frac{8}{9} \cdot \frac{1}{4}$ $\displaystyle \frac{8}{9} \cdot \frac{1}{4}$

Possible Answers:

$\frac{8}{13}$ $\displaystyle \frac{8}{13}$

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$

$\frac{9}{13}$ $\displaystyle \frac{9}{13}$

$\frac{8}{45}$ $\displaystyle \frac{8}{45}$

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

Correct answer:

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

So,

$\frac{8}{9} \cdot \frac{1}{4}$ $\displaystyle \frac{8}{9} \cdot \frac{1}{4}$

Before we multiply, we can simplify to make things easier. The 8 and the 4 can both be divided by 4. So,

$\frac{2}{9} \cdot \frac{1}{1}$ $\displaystyle \frac{2}{9} \cdot \frac{1}{1}$

Now, we can multiply straight across. We get

$\frac{2 \cdot 1}{9 \cdot 1}$ $\displaystyle \frac{2 \cdot 1}{9 \cdot 1}$

$\frac{2}{9}$ $\displaystyle \frac{2}{9}$

Report an Error

Example Question #381 : Numbers And Operations

Multiply the following:

$\frac{5}{6} \cdot 7$ $\displaystyle \frac{5}{6} \cdot 7$

Possible Answers:

$\frac{12}{6}$ $\displaystyle \frac{12}{6}$

$\displaystyle 7$

$\frac{35}{42}$ $\displaystyle \frac{35}{42}$

$\frac{35}{6}$ $\displaystyle \frac{35}{6}$

$\frac{5}{42}$ $\displaystyle \frac{5}{42}$

Correct answer:

$\frac{35}{6}$ $\displaystyle \frac{35}{6}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

So,

$\frac{5}{6} \cdot 7$ $\displaystyle \frac{5}{6} \cdot 7$

We must write 7 as a fraction. We know that whole numbers can be written as fractions over 1. So,

$\frac{5}{6} \cdot \frac{7}{1}$ $\displaystyle \frac{5}{6} \cdot \frac{7}{1}$

Now, we can multiply straight across. We get

$\frac{5 \cdot 7}{6 \cdot 1}$ $\displaystyle \frac{5 \cdot 7}{6 \cdot 1}$

$\frac{35}{6}$ $\displaystyle \frac{35}{6}$

Report an Error

Example Question #241 : Fractions

Multiply the following:

$\frac{2}{3} \cdot 18$ $\displaystyle \frac{2}{3} \cdot 18$

Possible Answers:

$\displaystyle 8$

$\displaystyle 15$

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 9$

Correct answer:

$\displaystyle 12$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

So, in the problem

$\frac{2}{3} \cdot 18$ $\displaystyle \frac{2}{3} \cdot 18$

We will first write 18 as a fraction. We know that whole numbers can be written as a fraction over 1. So, we get

$\frac{2}{3} \cdot \frac{18}{1}$ $\displaystyle \frac{2}{3} \cdot \frac{18}{1}$

Now, before we multiply, we can simplify to make things easier. The 3 and the 18 can both be divided by 3. We get

$\frac{2}{1} \cdot \frac{6}{1}$ $\displaystyle \frac{2}{1} \cdot \frac{6}{1}$

Now, we can multiply straight across. We get

$\frac{2 \cdot 6}{1 \cdot 1}$ $\displaystyle \frac{2 \cdot 6}{1 \cdot 1}$

$\frac{12}{1}$ $\displaystyle \frac{12}{1}$

$\displaystyle 12$

Report an Error

Example Question #391 : Numbers And Operations

Multiply the following:

$\frac{7}{8} \cdot \frac{2}{3}$ $\displaystyle \frac{7}{8} \cdot \frac{2}{3}$

Possible Answers:

$\frac{9}{11}$ $\displaystyle \frac{9}{11}$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{9}{24}$ $\displaystyle \frac{9}{24}$

$\displaystyle 4$

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

Correct answer:

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

Explanation:

To multiply fractions, we will multiply the numerators together and the denominators together. We get

$\frac{7}{8} \cdot \frac{2}{3}$ $\displaystyle \frac{7}{8} \cdot \frac{2}{3}$

$\frac{7 \cdot 2}{8 \cdot 3}$ $\displaystyle \frac{7 \cdot 2}{8 \cdot 3}$

$\frac{14}{24}$ $\displaystyle \frac{14}{24}$

$\frac{7}{12}$ $\displaystyle \frac{7}{12}$

Report an Error

Example Question #51 : How To Multiply Fractions

Multiply the following:

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

Possible Answers:

$\frac{7}{4}$ $\displaystyle \frac{7}{4}$

$\frac{3.5}{4}$ $\displaystyle \frac{3.5}{4}$

$\frac{8}{10}$ $\displaystyle \frac{8}{10}$

$\frac{7}{16}$ $\displaystyle \frac{7}{16}$

$\frac{15}{16}$ $\displaystyle \frac{15}{16}$

Correct answer:

$\frac{7}{16}$ $\displaystyle \frac{7}{16}$

Explanation:

To multiply, we will multiply the numerators together and the denominators together. We get

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

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

$\frac{7}{16}$ $\displaystyle \frac{7}{16}$

Report an Error

Example Question #392 : Numbers And Operations

Multiply the following:

$\frac{5}{7} \cdot \frac{1}{2}$ $\displaystyle \frac{5}{7} \cdot \frac{1}{2}$

Possible Answers:

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{6}{9}$ $\displaystyle \frac{6}{9}$

$\frac{5}{9}$ $\displaystyle \frac{5}{9}$

$\frac{5}{14}$ $\displaystyle \frac{5}{14}$

$\frac{6}{14}$ $\displaystyle \frac{6}{14}$

Correct answer:

$\frac{5}{14}$ $\displaystyle \frac{5}{14}$

Explanation:

To multiply, we will multiply the numerators together, then we will multiply the denominators together. So, we get

$\frac{5}{7} \cdot \frac{1}{2}$ $\displaystyle \frac{5}{7} \cdot \frac{1}{2}$

$\frac{5 \cdot 1}{7 \cdot 2}$ $\displaystyle \frac{5 \cdot 1}{7 \cdot 2}$

$\frac{5}{14}$ $\displaystyle \frac{5}{14}$

Report an Error

Example Question #393 : Numbers And Operations

Multiply the following:

$\frac{7}{9} \cdot \frac{2}{3}$ $\displaystyle \frac{7}{9} \cdot \frac{2}{3}$

Possible Answers:

$\frac{16}{24}$ $\displaystyle \frac{16}{24}$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\frac{14}{28}$ $\displaystyle \frac{14}{28}$

$\frac{18}{21}$ $\displaystyle \frac{18}{21}$

$\frac{14}{27}$ $\displaystyle \frac{14}{27}$

Correct answer:

$\frac{14}{27}$ $\displaystyle \frac{14}{27}$

Explanation:

To multiply fractions, we will multiply straight across. In other words, we will multiply the numerators together, then we will multiply the denominators together. So, we get

$\frac{7}{9} \cdot \frac{2}{3}$ $\displaystyle \frac{7}{9} \cdot \frac{2}{3}$

$\frac{7 \cdot 2}{9 \cdot 3}$ $\displaystyle \frac{7 \cdot 2}{9 \cdot 3}$

$\frac{14}{27}$ $\displaystyle \frac{14}{27}$

Report an Error

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ISEE Middle Level Math : How to multiply fractions

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #51 : How To Multiply Fractions

Example Question #382 : Numbers And Operations

Example Question #382 : Numbers And Operations

Example Question #231 : Fractions

Example Question #381 : Numbers And Operations

Example Question #241 : Fractions

Example Question #391 : Numbers And Operations

Example Question #51 : How To Multiply Fractions

Example Question #392 : Numbers And Operations

Example Question #393 : Numbers And Operations

All ISEE Middle Level Math Resources

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