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SSAT Upper Level Math : Number Concepts and Operations

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 #191 : Number Concepts And Operations

What is the result of this operation?

$\frac{2}{9}-\frac{2}{9}=?$

Possible Answers:

$\frac{4}{9}$

Correct answer:

Explanation:

Since the denominators are the same, we can just subtract the numerators.

$\frac{2}{9}-\frac{2}{9}=\frac{0}{9}$

The result can just be reduced to

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Example Question #192 : Number Concepts And Operations

What is the result of the operation

$\frac{4}{5}-\frac{3}{5}=?$

Possible Answers:

$\frac{3}{5}$

$\frac{4}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

Since the denominators are the exact same, we can just subtract the numerators.

$\frac{4}{5}-\frac{3}{5}=\frac{1}{5}$

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Example Question #193 : Number Concepts And Operations

What is the result of this operation

$\frac{4}{13}-\frac{2}{13}=?$

Possible Answers:

$\frac{3}{13}$

$\frac{1}{13}$

$\frac{2}{13}$

$\frac{5}{13}$

$\frac{4}{13}$

Correct answer:

$\frac{2}{13}$

Explanation:

Since the denominators are the exact same, we can just subtract the numerators.

$\frac{4}{13}-\frac{2}{13}=\frac{2}{13}$

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Example Question #194 : Number Concepts And Operations

What is the result of this operation

$\frac{6}{6}-\frac{3}{6}=?$

Possible Answers:

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{5}$

$\frac{9}{6}$

Correct answer:

$\frac{1}{2}$

Explanation:

Since the denominators are the same, we can just subtract the numerators.

$\frac{6}{6}-\frac{3}{6}=\frac{3}{6}$

which we can reduce to

$\frac{1}{2}$

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Example Question #9 : How To Subtract Fractions

What is the result of this operation?

$\frac{1}{6}-\frac{1}{3}=?$

Possible Answers:

$-\frac{1}{6}$

$\frac{1}{6}$

$\frac{1}{12}$

$\frac{1}{3}$

$-\frac{1}{3}$

Correct answer:

$-\frac{1}{6}$

Explanation:

Since the denominators are different, we need to transform them into the same denominator.

$\frac{1}{6}-\frac{1}{3}=?$

becomes

$\frac{1}{6}-\frac{1*2}{3*2}=?$

$\frac{1}{6}-\frac{2}{6}=?$

Now subtract the numerators

$\frac{1}{6}-\frac{2}{6}=\frac{-1}{6}$

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Example Question #195 : Number Concepts And Operations

What is the result of this operation

$\frac{2}{7}-\frac{3}{7}=?$

Possible Answers:

$\frac{2}{7}$

$\frac{1}{7}$

$-\frac{1}{7}$

$-\frac{2}{7}$

Correct answer:

$-\frac{1}{7}$

Explanation:

Since the denominators are the same, we can just subtract the numerators.

$\frac{2}{7}-\frac{3}{7}=\frac{-1}{7}$

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Example Question #196 : Number Concepts And Operations

$\frac{5}{6}\div \frac{1}{12}=?$

Possible Answers:

$\frac{1}{2}$

$\frac{5}{72}$

Correct answer:

Explanation:

Turn the second fraction upside down to find its reciprocal, and then multiply the first fraction by the reciprocal of the second fraction to divide the two fractions. When multiplying fractions, you can multiply across, finding the products of the numbers being multiplied in the numerator and in the denominator.

$\frac{5}{6}\div \frac{1}{12}=\frac{5}{6}\times\frac{12}{1}=\frac{60}{6}=10$

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Example Question #197 : Number Concepts And Operations

$\frac{4}{5}\div\frac{7}{8}=?$

Possible Answers:

$\frac{7}{20}$

$\frac{14}{27}$

$\frac{32}{35}$

$\frac{35}{32}$

Correct answer:

$\frac{32}{35}$

Explanation:

$\frac{4}{5}\div\frac{7}{8}=\frac{4}{5}\times\frac{8}{7}=\frac{32}{35}$

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Example Question #3 : How To Divide Fractions

$\frac{7}{9}\div\frac{2}{3}=?$

Possible Answers:

$\frac{14}{27}$

$\frac{15}{27}$

$\frac{7}{6}$

$\frac{6}{7}$

Correct answer:

$\frac{7}{6}$

Explanation:

$\frac{7}{9}\div\frac{2}{3}=\frac{7}{9}\times\frac{3}{2}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{7}{9}\times\frac{3}{2}=\frac{7}{3}\times\frac{1}{2}=\frac{7}{6}$

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Example Question #4 : How To Divide Fractions

$\frac{5}{7}\div\frac{1}{14}=?$

Possible Answers:

$\frac{1}{10}$

$\frac{7}{60}$

$\frac{5}{98}$

Correct answer:

Explanation:

$\frac{5}{7}\div\frac{1}{14}=\frac{5}{7}\times\frac{14}{1}$

In this case, you can reduce the fractions being multiplied by cross-canceling before multiplying them together.

$\frac{5}{7}\times\frac{14}{1}=\frac{5}{1}\times\frac{2}{1}=\frac{10}{1}=10$

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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : Number Concepts and Operations

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #191 : Number Concepts And Operations

Example Question #192 : Number Concepts And Operations

Example Question #193 : Number Concepts And Operations

Example Question #194 : Number Concepts And Operations

Example Question #9 : How To Subtract Fractions

Example Question #195 : Number Concepts And Operations

Example Question #196 : Number Concepts And Operations

Example Question #197 : Number Concepts And Operations

Example Question #3 : How To Divide Fractions

Example Question #4 : How To Divide Fractions

All SSAT Upper Level Math Resources

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