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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

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Example Questions

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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Example Question #1909 : Mathematical Relationships And Basic Graphs

Multiply:

$\frac{5}{6}\cdot \frac{2}{50}$

Possible Answers:

$\frac{1}{3}$

$\frac{7}{30}$

$\frac{1}{30}$

$\frac{10}{13}$

Correct answer:

$\frac{1}{30}$

Explanation:

Remember, when multiplying fractions, multiply straight across.

But first, try to see if you can reduce diagonally. You can in this case.

Then, multiply across to get your answer of $\frac{1}{30}$ .

Make sure it's in simplest form.

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Example Question #61 : Multiplying And Dividing Fractions

Simplify: $f(x)=\frac{2x}{3}\div\frac{4}{3x}$ .

Possible Answers:

$\frac{x^2}{2}$

$\frac{2}{x^2}$

$\frac{8}{9}$

Correct answer:

$\frac{x^2}{2}$

Explanation:

The first thing we want to do is to take the reciprocal of the second term to change this into a multiplication problem:

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

Now we multiply the numerators and the denominators:

$\frac{6x}{12}$

Finally, we simplify:

$\frac{x}{2}$

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Algebra II : Mathematical Relationships and Basic Graphs

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

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

Example Question #1909 : Mathematical Relationships And Basic Graphs

Example Question #61 : Multiplying And Dividing Fractions

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