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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : How To Multiply Fractions

Multiply:

$\frac{3}{7}\times\frac{7}{8}$

Possible Answers:

$\frac{3}{8}$

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{3}{7}$

Correct answer:

$\frac{3}{8}$

Explanation:

To multiply fractions, multiply the numerators together then the denominators together.

After the multiplication is complete simply the fraction to get the final answer.

$\frac{3}{7}\times\frac{7}{8}=\frac{3\times7}{7\times8}=\frac{21}{56}=\frac{3}{8}$

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Example Question #12 : How To Multiply Fractions

Multiply,

$\frac{3}{5}\times\frac{1}{2}=?$

Possible Answers:

$\frac{3}{10}$

$\frac{2}{5}$

$\frac{4}{7}$

$\frac{3}{7}$

Correct answer:

$\frac{3}{10}$

Explanation:

To multiply fractions, multiply the numerators together then, multiply the denominators together.

$\frac{3}{5}\times\frac{1}{2}=\frac{3\times1}{5\times2}=\frac{3}{10}$

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Example Question #163 : Fractions

Which of the following is closest to the product of $6\frac{1}{2}$ and $8\frac{2}{3}$ ?

Possible Answers:

Correct answer:

Explanation:

First convert the mix fractions into improper fractions by multiplying the whole number with the numerator and then adding that number to the numerator while all keeping it over the denominator.

$6\frac{1}{2} \times 8\frac{2}{3}$

$= \frac{6 \times 2 + 1}{2} \times \frac{8 \times 3+ 2}{3}$

$= \frac{13}{2} \times \frac{26}{3}$

When multiplying two fractions, multiply the numerators together and the denominators together.

$= \frac{13 \times 26 }{2 \times 3}$

$= \frac{338}{6}$

$= \frac{338 \div 2}{6 \div 2}$

$= \frac{169}{3}$

Divide:

$169 \div 3 = 56 \textup{ R }1$ ,

$6\frac{1}{2} \times 8\frac{2}{3} = \frac{169}{3} = 56 \frac{1}{3}$ .

This makes 55 the response closest to the actual product.

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Example Question #13 : How To Multiply Fractions

Multiply these fractions:

$\frac{1}{4}\cdot \frac{2}{5}$

Possible Answers:

$\frac{2}{9}$

$\frac{1}{5}$

$\frac{1}{20}$

$\frac{1}{10}$

Correct answer:

$\frac{1}{10}$

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

$\frac{1}{4}\cdot \frac{2}{5}=\frac{1\cdot 2}{4\cdot 5}=\frac{2}{20}$

Then simplify the fraction accordingly:

$\frac{2\div 2}{20\div 2}=\frac{1}{10}$

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Example Question #14 : How To Multiply Fractions

Multiply these fractions:

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

Possible Answers:

$\frac{2}{11}$

$\frac{2}{23}$

$\frac{2}{21}$

$\frac{3}{11}$

Correct answer:

$\frac{2}{21}$

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

$\frac{2}{3}\cdot \frac{1}{7}=\frac{2\cdot 1}{3\cdot 7}=\frac{2}{21}$

Since this fraction is in its simplest form, that is the final answer.

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Example Question #15 : How To Multiply Fractions

Multiply these fractions:

$\frac{5}{12}\cdot \frac{2}{7}$

Possible Answers:

$\frac{10}{19}$

$\frac{5}{42}$

$\frac{10}{42}$

$\frac{5}{84}$

Correct answer:

$\frac{5}{42}$

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

$\frac{5}{12}\cdot \frac{2}{7}=\frac{5\cdot 2}{12\cdot 7}=\frac{10}{84}$

Then simplify the fraction accordingly:

$\frac{10\div 2}{84\div 2}=\frac{5}{42}$

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Example Question #21 : How To Multiply Fractions

Multiply these fractions:

$\frac{4}{7}\cdot \frac{2}{5}$

Possible Answers:

$\frac{8}{35}$

$\frac{8}{17}$

$\frac{1}{2}$

$\frac{6}{35}$

Correct answer:

$\frac{8}{35}$

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

$\frac{4}{7}\cdot \frac{2}{5}=\frac{4\cdot 2}{7\cdot 5}=\frac{8}{35}$

Since this fraction is in its simplest form, that is the final answer.

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Example Question #22 : How To Multiply Fractions

Multiply these fractions:

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

Possible Answers:

$\frac{2}{11}$

$\frac{1}{15}$

$\frac{1}{11}$

$\frac{1}{30}$

Correct answer:

$\frac{1}{30}$

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

$\frac{1}{6}\cdot \frac{1}{5}=\frac{1\cdot 1}{6\cdot 5}=\frac{1}{30}$

Since this fraction is in its simplest form, that is the final answer.

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Example Question #41 : Operations With Fractions

Multiply these fractions:

$\frac{1}{8}\cdot \frac{2}{3}$

Possible Answers:

$\frac{1}{24}$

$\frac{1}{12}$

$\frac{1}{6}$

$\frac{2}{27}$

Correct answer:

$\frac{1}{12}$

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

$\frac{1}{8}\cdot \frac{2}{3}=\frac{1\cdot 2}{8\cdot 3}=\frac{2}{24}$

Then simplify the fraction accordingly:

$\frac{2\div 2}{24\div 2}=\frac{1}{12}$

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Example Question #171 : Rational Numbers

Multiply these fractions:

$\frac{4}{9}\cdot \frac{6}{8}$

Possible Answers:

$\frac{1}{8}$

$\frac{1}{3}$

$\frac{1}{4}$

$\frac{2}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

$\frac{4}{9}\cdot \frac{6}{8}=\frac{4\cdot 6}{9\cdot 8}=\frac{24}{72}$

Then simplify the fraction accordingly:

$\frac{24\div 3}{72\div 3}=\frac{8}{24}$

But we are not done simplifying yet:

$\frac{8\div 8}{24\div 8}=\frac{1}{3}$

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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #11 : How To Multiply Fractions

Example Question #12 : How To Multiply Fractions

Example Question #163 : Fractions

Example Question #13 : How To Multiply Fractions

Example Question #14 : How To Multiply Fractions

Example Question #15 : How To Multiply Fractions

Example Question #21 : How To Multiply Fractions

Example Question #22 : How To Multiply Fractions

Example Question #41 : Operations With Fractions

Example Question #171 : Rational Numbers

All SSAT Upper Level Math Resources

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