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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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10 Diagnostic Tests 630 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1895 : Mathematical Relationships And Basic Graphs

Multiply the fractions:

$\frac{3}{4}\cdot \frac{2}{7}$

Possible Answers:

$\frac{11}{14}$

$\frac{3}{14}$

$\frac{7}{14}$

$\frac{5}{14}$

Correct answer:

$\frac{3}{14}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{3}{4}\cdot \frac{2}{7}=\frac{6}{28}\div \frac{2}{2}=\frac{3}{14}$

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Example Question #1896 : Mathematical Relationships And Basic Graphs

Multiply the fractions:

$\frac{7}{8}\cdot\frac{1}{2}$

Possible Answers:

$\frac{3}{8}$

$\frac{7}{16}$

$\frac{5}{16}$

$\frac{13}{16}$

Correct answer:

$\frac{7}{16}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{7}{8}\cdot \frac{1}{2}=\frac{7}{16}$

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Example Question #1901 : Mathematical Relationships And Basic Graphs

Multiply the fractions:

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

Possible Answers:

$\frac{3}{36}$

$\frac{1}{6}$

$\frac{1}{12}$

$\frac{1}{36}$

Correct answer:

$\frac{1}{36}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{1}{6}\cdot \frac{1}{6}=\frac{1}{36}$

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Example Question #1902 : Mathematical Relationships And Basic Graphs

Multiply the fractions:

$\frac{3}{5}\cdot \frac{5}{7}$

Possible Answers:

$\frac{6}{7}$

$\frac{5}{7}$

$\frac{3}{7}$

$\frac{4}{7}$

Correct answer:

$\frac{3}{7}$

Explanation:

When multiplying fractions, multiply the numbers on the top together and the numbers on the bottom together. Then simplify accordingly.

$\frac{3}{5}\cdot \frac{5}{7}=\frac{15}{35}\div \frac{5}{5}=\frac{3}{7}$

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Example Question #1903 : Mathematical Relationships And Basic Graphs

Divide the fractions:

$\frac{1}{2}\div \frac{1}{3}$

Possible Answers:

$\frac{1}{4}$

$\frac{1}{5}$

$1\frac{1}{2}$

$1\frac{1}{6}$

Correct answer:

$1\frac{1}{2}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{1}{2}\div \frac{1}{3}=\frac{1}{2}\cdot \frac{3}{1}=\frac{3}{2}=1\frac{1}{2}$

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Example Question #1904 : Mathematical Relationships And Basic Graphs

Divide the fractions:

$\frac{7}{9}\div \frac{5}{6}$

Possible Answers:

$\frac{14}{15}$

$\frac{4}{15}$

$1\frac{1}{15}$

Correct answer:

$\frac{14}{15}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{7}{9}\div \frac{5}{6}=\frac{7}{9}\cdot \frac{6}{5}=\frac{42}{45}\div \frac{3}{3}=\frac{14}{15}$

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Example Question #1905 : Mathematical Relationships And Basic Graphs

Divide the fractions:

$\frac{2}{5}\div \frac{3}{4}$

Possible Answers:

$\frac{8}{15}$

$\frac{13}{15}$

$1\frac{4}{15}$

$\frac{7}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{2}{5}\div \frac{3}{4}=\frac{2}{5}\cdot \frac{4}{3}=\frac{8}{15}$

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Example Question #1906 : Mathematical Relationships And Basic Graphs

Divide the fractions:

$\frac{3}{5}\div \frac{4}{7}$

Possible Answers:

$\frac{11}{20}$

$1\frac{3}{20}$

$1\frac{1}{20}$

$\frac{19}{20}$

Correct answer:

$1\frac{1}{20}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{3}{5}\div \frac{4}{7}=\frac{3}{5}\cdot \frac{7}{4}=\frac{21}{20}=1\frac{1}{20}$

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Example Question #1907 : Mathematical Relationships And Basic Graphs

Divide the fractions:

$\frac{2}{7}\div \frac{3}{21}$

Possible Answers:

$\frac{2}{7}$

$1\frac{1}{3}$

$\frac{1}{2}$

Correct answer:

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{2}{7}\div \frac{3}{21}=\frac{2}{7}\cdot \frac{21}{3}=\frac{42}{21}=2$

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Example Question #1908 : Mathematical Relationships And Basic Graphs

Divide the fractions:

$\frac{7}{8}\div \frac{3}{4}$

Possible Answers:

$1\frac{1}{6}$

$\frac{1}{6}$

$1\frac{5}{6}$

Correct answer:

$1\frac{1}{6}$

Explanation:

When dividing fractions, first we flip the second fraction in the problem. Then we multiply the numbers on the top together and the numbers on the bottom together. Finally simplify accordingly.

$\frac{7}{8}\div \frac{3}{4}=\frac{7}{8}\cdot \frac{4}{3}=\frac{28}{24}\div \frac{4}{4}=\frac{7}{6}=1\frac{1}{6}$

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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #1895 : Mathematical Relationships And Basic Graphs

Example Question #1896 : Mathematical Relationships And Basic Graphs

Example Question #1901 : Mathematical Relationships And Basic Graphs

Example Question #1902 : Mathematical Relationships And Basic Graphs

Example Question #1903 : Mathematical Relationships And Basic Graphs

Example Question #1904 : Mathematical Relationships And Basic Graphs

Example Question #1905 : Mathematical Relationships And Basic Graphs

Example Question #1906 : Mathematical Relationships And Basic Graphs

Example Question #1907 : Mathematical Relationships And Basic Graphs

Example Question #1908 : Mathematical Relationships And Basic Graphs

All Algebra II Resources

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