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ISEE Middle Level Math : How to multiply fractions

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #222 : Fractions

Multiply the following:

$\frac{6}{7} \cdot\frac{1}{2}$ $\displaystyle \frac{6}{7} \cdot\frac{1}{2}$

Possible Answers:

$\frac{19}{14}$ $\displaystyle \frac{19}{14}$

$\frac{3}{7}$ $\displaystyle \frac{3}{7}$

$\frac{7}{9}$ $\displaystyle \frac{7}{9}$

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

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

Correct answer:

$\frac{3}{7}$ $\displaystyle \frac{3}{7}$

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.

$\frac{6}{7} \cdot\frac{1}{2}$ $\displaystyle \frac{6}{7} \cdot\frac{1}{2}$

$\frac{6 \cdot 1}{7 \cdot 2}$ $\displaystyle \frac{6 \cdot 1}{7 \cdot 2}$

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

$\frac{3}{7}$ $\displaystyle \frac{3}{7}$

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Example Question #371 : Numbers And Operations

Multiply the following:

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

Possible Answers:

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

$\displaystyle 2$

$\displaystyle 1$

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

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

Correct answer:

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

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,

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

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

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

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Example Question #371 : Numbers And Operations

Multiply the following:

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

Possible Answers:

$\displaystyle 1$

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

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$

$\frac{1}{16}$ $\displaystyle \frac{1}{16}$

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

Correct answer:

$\frac{1}{16}$ $\displaystyle \frac{1}{16}$

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,

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

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

$\frac{1}{16}$ $\displaystyle \frac{1}{16}$

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Example Question #223 : Fractions

Multiply the following:

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

Possible Answers:

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

$\frac{3}{25}$ $\displaystyle \frac{3}{25}$

$\frac{2}{25}$ $\displaystyle \frac{2}{25}$

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

Correct answer:

$\frac{2}{25}$ $\displaystyle \frac{2}{25}$

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,

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

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

$\frac{2}{25}$ $\displaystyle \frac{2}{25}$

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Example Question #231 : Fractions

Multiply the following:

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

Possible Answers:

$\displaystyle 1$

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

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

$\frac{3}{6}$ $\displaystyle \frac{3}{6}$

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

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, given the problem

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

we will multiply straight across. We get

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

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

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Example Question #41 : How To Multiply Fractions

Multiply the following:

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

Possible Answers:

$\frac{3}{25}$ $\displaystyle \frac{3}{25}$

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$

$\frac{2}{25}$ $\displaystyle \frac{2}{25}$

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

Correct answer:

$\frac{2}{25}$ $\displaystyle \frac{2}{25}$

Explanation:

When multiplying 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,

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

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

$\frac{2}{25}$ $\displaystyle \frac{2}{25}$

Report an Error

Example Question #41 : How To Multiply Fractions

Multiply the following:

$\frac{a}{b} \cdot \frac{c}{d}$ $\displaystyle \frac{a}{b} \cdot \frac{c}{d}$

Possible Answers:

$\frac{ab}{cd}$ $\displaystyle \frac{ab}{cd}$

abcd $\displaystyle abcd$

$ab \cdot cd$ $\displaystyle ab \cdot cd$

$\frac{ad}{bc}$ $\displaystyle \frac{ad}{bc}$

$\frac{ac}{bd}$ $\displaystyle \frac{ac}{bd}$

Correct answer:

$\frac{ac}{bd}$ $\displaystyle \frac{ac}{bd}$

Explanation:

When multiplying 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, given the problem

$\frac{a}{b} \cdot \frac{c}{d}$ $\displaystyle \frac{a}{b} \cdot \frac{c}{d}$

we will multiply straight across. We get

$\frac{a \cdot c}{b \cdot d}$ $\displaystyle \frac{a \cdot c}{b \cdot d}$

$\frac{ac}{bd}$ $\displaystyle \frac{ac}{bd}$

Note that when variables are being multiplied together, we can write them right next to each other (side by side).

In other words,

$\displaystyle ac$

is the same as

$a \cdot c$ $\displaystyle a \cdot c$

$\displaystyle a$ times $\displaystyle c$

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Example Question #381 : Numbers And Operations

Multiply the following:

$\frac{3}{4} \cdot \frac{1}{2}$ $\displaystyle \frac{3}{4} \cdot \frac{1}{2}$

Possible Answers:

$\frac{6}{16}$ $\displaystyle \frac{6}{16}$

$\frac{4}{6}$ $\displaystyle \frac{4}{6}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\frac{6}{4}$ $\displaystyle \frac{6}{4}$

$\frac{5}{4}$ $\displaystyle \frac{5}{4}$

Correct answer:

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Explanation:

When multiplying 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, given the problem

$\frac{3}{4} \cdot \frac{1}{2}$ $\displaystyle \frac{3}{4} \cdot \frac{1}{2}$

we will multiply straight across. We get

$\frac{3 \cdot 1}{4 \cdot 2}$ $\displaystyle \frac{3 \cdot 1}{4 \cdot 2}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Report an Error

Example Question #231 : Fractions

Multiply the following:

$\frac{2}{5} \cdot \frac{7}{8}$ $\displaystyle \frac{2}{5} \cdot \frac{7}{8}$

Possible Answers:

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

$\frac{7}{20}$ $\displaystyle \frac{7}{20}$

$\frac{16}{35}$ $\displaystyle \frac{16}{35}$

$\frac{51}{80}$ $\displaystyle \frac{51}{80}$

$\frac{51}{40}$ $\displaystyle \frac{51}{40}$

Correct answer:

$\frac{7}{20}$ $\displaystyle \frac{7}{20}$

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

$\frac{2}{5} \cdot \frac{7}{8}$ $\displaystyle \frac{2}{5} \cdot \frac{7}{8}$

we will multiply straight across. Before we multiply, we will simplify to make things easier.

The 2 and the 8 can both be divided by 2. So, we get

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

Now, we can multiply straight across. We get

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

$\frac{7}{20}$ $\displaystyle \frac{7}{20}$

Report an Error

Example Question #236 : Fractions

Multiply the following:

$\frac{4}{5} \cdot 25$ $\displaystyle \frac{4}{5} \cdot 25$

Possible Answers:

$\displaystyle 20$

$\displaystyle 30$

$\displaystyle 15$

$\displaystyle 25$

$\displaystyle 40$

Correct answer:

$\displaystyle 20$

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

$\frac{4}{5} \cdot 25$ $\displaystyle \frac{4}{5} \cdot 25$

we first need to write 25 as a fraction. We know that whole numbers can be written as fractions over 1. So, we get

$\frac{4}{5} \cdot \frac{25}{1}$ $\displaystyle \frac{4}{5} \cdot \frac{25}{1}$

Now, we can simplify before we multiply to make things easier. The 5 and the 25 can both be divided by 5. So, we get

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

Now, we will multiply straight across. We get

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

$\frac{20}{1}$ $\displaystyle \frac{20}{1}$

$\displaystyle 20$

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All ISEE Middle Level Math Resources

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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 #222 : Fractions

Example Question #371 : Numbers And Operations

Example Question #371 : Numbers And Operations

Example Question #223 : Fractions

Example Question #231 : Fractions

Example Question #41 : How To Multiply Fractions

Example Question #41 : How To Multiply Fractions

Example Question #381 : Numbers And Operations

Example Question #231 : Fractions

Example Question #236 : Fractions

All ISEE Middle Level Math Resources

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