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SSAT Upper Level Math : Operations with Fractions

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 #41 : Operations With Fractions

Multiply these fractions:

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

Possible Answers:

$\frac{2}{11}$

$\frac{3}{11}$

$\frac{2}{23}$

$\frac{2}{21}$

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 #42 : Operations With Fractions

Multiply these fractions:

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

Possible Answers:

$\frac{10}{42}$

$\frac{5}{84}$

$\frac{5}{42}$

$\frac{10}{19}$

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 #166 : Rational Numbers

Multiply these fractions:

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

Possible Answers:

$\frac{8}{35}$

$\frac{8}{17}$

$\frac{6}{35}$

$\frac{1}{2}$

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 #43 : Operations With Fractions

Multiply these fractions:

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

Possible Answers:

$\frac{1}{11}$

$\frac{1}{15}$

$\frac{1}{30}$

$\frac{2}{11}$

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 #44 : Operations With Fractions

Multiply these fractions:

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

Possible Answers:

$\frac{1}{6}$

$\frac{1}{24}$

$\frac{1}{12}$

$\frac{2}{27}$

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 #172 : Rational Numbers

Multiply these fractions:

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

Possible Answers:

$\frac{1}{4}$

$\frac{1}{8}$

$\frac{1}{3}$

$\frac{2}{3}$

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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Example Question #233 : Number Concepts And Operations

Multiply these fractions:

$\frac{3}{5}\cdot \frac{4}{6}$

Possible Answers:

$\frac{2}{11}$

$\frac{2}{5}$

$\frac{1}{10}$

$\frac{1}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

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

$\frac{3}{5}\cdot \frac{4}{6}=\frac{3\cdot 4}{5\cdot 6}=\frac{12}{30}$

Then simplify the fraction accordingly:

$\frac{12\div 3}{30\div 3}=\frac{4}{10}$

But we are not done simplifying yet:

$\frac{4\div 2}{10\div 2}=\frac{2}{5}$

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Example Question #45 : Operations With Fractions

Multiply these fractions:

$\frac{6}{7}\cdot \frac{5}{8}$

Possible Answers:

$\frac{15}{28}$

$\frac{11}{28}$

$\frac{17}{28}$

$\frac{5}{28}$

Correct answer:

$\frac{15}{28}$

Explanation:

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

$\frac{6}{7}\cdot \frac{5}{8}=\frac{6\cdot 5}{7\cdot 8}=\frac{30}{56}$

Then simplify the fraction accordingly:

$\frac{30\div 2}{56\div 2}=\frac{15}{28}$

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Example Question #46 : Operations With Fractions

Multiply these fractions:

$\frac{9}{10}\cdot \frac{3}{7}$

Possible Answers:

$\frac{12}{70}$

$\frac{27}{70}$

$\frac{12}{17}$

$\frac{26}{70}$

Correct answer:

$\frac{27}{70}$

Explanation:

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

$\frac{9}{10}\cdot \frac{3}{7}=\frac{9\cdot 3}{10\cdot 7}=\frac{27}{70}$

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

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Example Question #47 : Operations With Fractions

Multiply these fractions:

$\frac{5}{17}\cdot \frac{6}{7}$

Possible Answers:

$\frac{30}{117}$

$\frac{11}{119}$

$\frac{11}{24}$

$\frac{30}{119}$

Correct answer:

$\frac{30}{119}$

Explanation:

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

$\frac{5}{17}\cdot \frac{6}{7}=\frac{5\cdot 6}{17\cdot 7}=\frac{30}{119}$

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

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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : Operations with Fractions

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #41 : Operations With Fractions

Example Question #42 : Operations With Fractions

Example Question #166 : Rational Numbers

Example Question #43 : Operations With Fractions

Example Question #44 : Operations With Fractions

Example Question #172 : Rational Numbers

Example Question #233 : Number Concepts And Operations

Example Question #45 : Operations With Fractions

Example Question #46 : Operations With Fractions

Example Question #47 : Operations With Fractions

All SSAT Upper Level Math Resources

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