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SSAT Middle Level Math : How to multiply fractions

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Example Questions

Example Question #13 : Arithmetic

Evaluate:

$20.1 \cdot (-20.3)$ $\displaystyle 20.1 \cdot (-20.3)$

Possible Answers:

-408.3 $\displaystyle -408.3$

-480.3 $\displaystyle -480.3$

-40.803 $\displaystyle -40.803$

-40.83 $\displaystyle -40.83$

-408.03 $\displaystyle -408.03$

Correct answer:

-408.03 $\displaystyle -408.03$

Explanation:

The product of two numbers of unlike sign is the (negative) opposite of the product of their absolute values.

$20.1 \cdot (-20.3) = - \left (20.1 \cdot 20.3 \right )$ $\displaystyle 20.1 \cdot (-20.3) = - \left (20.1 \cdot 20.3 \right )$

There are a total of two digits to the right of the two decimal points. Therefore, the product can be calculated by multiplying 201 by 203, then placing the decimal point so that there are three digits at right.

$201 \cdot 203 = 40,803 \Rightarrow 20.1 \cdot 20.3 = 408.03$ $\displaystyle 201 \cdot 203 = 40,803 \Rightarrow 20.1 \cdot 20.3 = 408.03$

Since we need to affix a negative symbol in front, the answer is -408.03 $\displaystyle -408.03$

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Example Question #21 : How To Multiply Fractions

$\small \frac{6}{7}\times\frac{1}{2}$ $\displaystyle \small \frac{6}{7}\times\frac{1}{2}$

Possible Answers:

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

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

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

$\small \frac{2}{7}$ $\displaystyle \small \frac{2}{7}$

$\small \frac{1}{5}$ $\displaystyle \small \frac{1}{5}$

Correct answer:

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

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{6}{7}\times\frac{1}{2}=\frac{6}{14}$ $\displaystyle \small \small \frac{6}{7}\times\frac{1}{2}=\frac{6}{14}$

$\small \frac{6}{14}$ $\displaystyle \small \frac{6}{14}$ can be reduced by dividing both sides by $\small 2$ $\displaystyle \small 2$

$\small \small \frac{6}{14}\div\frac{2}{2}=\frac{3}{7}$ $\displaystyle \small \small \frac{6}{14}\div\frac{2}{2}=\frac{3}{7}$

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Example Question #22 : How To Multiply Fractions

$\small \frac{1}{2}\times\frac{5}{11}$ $\displaystyle \small \frac{1}{2}\times\frac{5}{11}$

Possible Answers:

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

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

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

$\small \frac{5}{22}$ $\displaystyle \small \frac{5}{22}$

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

Correct answer:

$\small \frac{5}{22}$ $\displaystyle \small \frac{5}{22}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{1}{2}\times\frac{5}{11}=\frac{5}{22}$ $\displaystyle \small \small \frac{1}{2}\times\frac{5}{11}=\frac{5}{22}$

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Example Question #23 : How To Multiply Fractions

$\small \frac{2}{3}\times\frac{5}{7}$ $\displaystyle \small \frac{2}{3}\times\frac{5}{7}$

Possible Answers:

$\small \frac{10}{21}$ $\displaystyle \small \frac{10}{21}$

$\small \frac{1}{9}$ $\displaystyle \small \frac{1}{9}$

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

$\small \frac{7}{21}$ $\displaystyle \small \frac{7}{21}$

$\small \frac{3}{11}$ $\displaystyle \small \frac{3}{11}$

Correct answer:

$\small \frac{10}{21}$ $\displaystyle \small \frac{10}{21}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{2}{3}\times\frac{5}{7}=\frac{10}{21}$ $\displaystyle \small \small \frac{2}{3}\times\frac{5}{7}=\frac{10}{21}$

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Example Question #24 : How To Multiply Fractions

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

Possible Answers:

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

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

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

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

$\small \frac{9}{16}$ $\displaystyle \small \frac{9}{16}$

Correct answer:

$\small \frac{9}{16}$ $\displaystyle \small \frac{9}{16}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{3}{4}\times\frac{3}{4}=\frac{9}{16}$ $\displaystyle \small \small \frac{3}{4}\times\frac{3}{4}=\frac{9}{16}$

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Example Question #36 : Operations With Fractions And Whole Numbers

Solve:

$\small \frac{2}{5}\times\frac{1}{7}$ $\displaystyle \small \frac{2}{5}\times\frac{1}{7}$

Possible Answers:

$\small \frac{1}{15}$ $\displaystyle \small \frac{1}{15}$

$\small \frac{7}{8}$ $\displaystyle \small \frac{7}{8}$

$\small \frac{1}{5}$ $\displaystyle \small \frac{1}{5}$

$\small \frac{2}{7}$ $\displaystyle \small \frac{2}{7}$

$\small \frac{2}{35}$ $\displaystyle \small \frac{2}{35}$

Correct answer:

$\small \frac{2}{35}$ $\displaystyle \small \frac{2}{35}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{2}{5}\times\frac{1}{7}=\frac{2}{35}$ $\displaystyle \small \small \frac{2}{5}\times\frac{1}{7}=\frac{2}{35}$

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Example Question #244 : Fractions

$\small 5\times \frac{1}{2}$ $\displaystyle \small 5\times \frac{1}{2}$

Possible Answers:

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

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

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

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

$\small \frac{1}{5}$ $\displaystyle \small \frac{1}{5}$

Correct answer:

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

Explanation:

$\small 5\times \frac{1}{2}$ $\displaystyle \small 5\times \frac{1}{2}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ $\displaystyle \small 1.$ The we multiply like normal.

$\small \small \frac{5}1{\times\frac{1}{2}=\frac{5}{2}$ $\displaystyle \small \small \frac{5}1{\times\frac{1}{2}=\frac{5}{2}$

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Example Question #245 : Fractions

$\small 3\times\frac{1}{4}$ $\displaystyle \small 3\times\frac{1}{4}$

Possible Answers:

$\small \frac{1}{5}$ $\displaystyle \small \frac{1}{5}$

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

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

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

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

Correct answer:

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

Explanation:

$\small 3\times\frac{1}{4}$ $\displaystyle \small 3\times\frac{1}{4}$

$\small \frac{3}{1}\times\frac{1}{4}=\frac{3}{4}$ $\displaystyle \small \frac{3}{1}\times\frac{1}{4}=\frac{3}{4}$

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Example Question #246 : Fractions

$\small 6\times\frac{3}{5}$ $\displaystyle \small 6\times\frac{3}{5}$

Possible Answers:

$\small \frac{18}{5}$ $\displaystyle \small \frac{18}{5}$

$\small \frac{18}{6}$ $\displaystyle \small \frac{18}{6}$

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

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

$\small \frac{24}{5}$ $\displaystyle \small \frac{24}{5}$

Correct answer:

$\small \frac{18}{5}$ $\displaystyle \small \frac{18}{5}$

Explanation:

$\small 6\times\frac{3}{5}$ $\displaystyle \small 6\times\frac{3}{5}$

$\small \small \frac{6}{1}\times\frac{3}{5}=\frac{18}{5}$ $\displaystyle \small \small \frac{6}{1}\times\frac{3}{5}=\frac{18}{5}$

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Example Question #248 : Fractions

$\small 5\times\frac{2}{4}$ $\displaystyle \small 5\times\frac{2}{4}$

Possible Answers:

$\small \frac{12}2{}$ $\displaystyle \small \frac{12}2{}$

$\small \frac{10}4{}$ $\displaystyle \small \frac{10}4{}$

$\small \frac{2}{20}$ $\displaystyle \small \frac{2}{20}$

$\small \small \frac{1}{10}$ $\displaystyle \small \small \frac{1}{10}$

$\small \frac{1}{5}$ $\displaystyle \small \frac{1}{5}$

Correct answer:

$\small \frac{10}4{}$ $\displaystyle \small \frac{10}4{}$

Explanation:

$\small 5\times\frac{2}{4}$ $\displaystyle \small 5\times\frac{2}{4}$

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\displaystyle 1.$ Then we multiply like normal.

$\small \small \frac{5}{1}\times\frac{2}{4}=\frac{10}{4}$ $\displaystyle \small \small \frac{5}{1}\times\frac{2}{4}=\frac{10}{4}$

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SSAT Middle Level Math : How to multiply fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #13 : Arithmetic

Example Question #21 : How To Multiply Fractions

Example Question #22 : How To Multiply Fractions

Example Question #23 : How To Multiply Fractions

Example Question #24 : How To Multiply Fractions

Example Question #36 : Operations With Fractions And Whole Numbers

Example Question #244 : Fractions

Example Question #245 : Fractions

Example Question #246 : Fractions

Example Question #248 : Fractions

All SSAT Middle Level Math Resources

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