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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 #1871 : Mathematical Relationships And Basic Graphs

Multiply these fractions:

$\frac{1}{4}*\frac{6}{7}$

Possible Answers:

$\frac{5}{14}$

$\frac{2}{7}$

$\frac{3}{14}$

$\frac{1}{14}$

Correct answer:

$\frac{3}{14}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{1}{4}*\frac{6}{7}=\frac{1*6}{4*7}=\frac{6}{28}$

Simply the fraction to get the final answer:

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

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Example Question #1872 : Mathematical Relationships And Basic Graphs

Multiply these fractions:

$\frac{12}{17}*\frac{5}{4}$

Possible Answers:

$\frac{16}{17}$

$\frac{14}{17}$

$\frac{13}{17}$

$\frac{15}{17}$

Correct answer:

$\frac{15}{17}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{12}{17}*\frac{5}{4}=\frac{12*5}{17*4}=\frac{60}{68}$

Simply the fraction to get the final answer:

$\frac{60}{68}\div \frac{4}{4}=\frac{15}{17}$

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Example Question #1873 : Mathematical Relationships And Basic Graphs

Multiply these fractions:

$\frac{4}{9}*\frac{2}{3}$

Possible Answers:

$\frac{7}{27}$

$\frac{6}{27}$

$\frac{10}{27}$

$\frac{8}{27}$

Correct answer:

$\frac{8}{27}$

Explanation:

When multiplying fractions, all we have to do is multiply the numerators together and multiply the denominators together:

$\frac{4}{9}*\frac{2}{3}=\frac{4*2}{3*9}=\frac{8}{27}$

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Example Question #1874 : Mathematical Relationships And Basic Graphs

Divide these fractions:

$\frac{16}{28}\div \frac{4}{7}$

Possible Answers:

$\frac{1}{4}$

$\frac{1}{3}$

$1\frac{1}{2}$

Correct answer:

Explanation:

When dividing fractions, first we need to flip the second fraction.

Then multiply the numerators together and multiply the denominators together:

$\frac{16}{28}\div \frac{4}{7}=\frac{16}{28}*\frac{7}{4}=\frac{16*7}{28*4}=\frac{112}{112}$

Simplify the fraction to get the final answer:

$\frac{112}{112}=1$

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Example Question #1875 : Mathematical Relationships And Basic Graphs

Divide these fractions:

$\frac{25}{60}\div \frac{1}{5}$

Possible Answers:

$2\frac{3}{12}$

$2\frac{1}{12}$

$1\frac{1}{12}$

Correct answer:

$2\frac{1}{12}$

Explanation:

When dividing fractions, first we need to flip the second fraction. Then multiply the numerators together and multiply the denominators together:

$\frac{25}{60}\div \frac{1}{5}=\frac{25}{60}*\frac{5}{1}=\frac{25*5}{60}=\frac{125}{60}$

Simplify the fraction to get the final answer:

$\frac{125}{60}\div \frac{5}{5}=\frac{25}{12}=2\frac{1}{12}$

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Example Question #5 : Division With Fractions

Divide these fractions:

$\frac{15}{30}\div15$

Possible Answers:

$\frac{1}{30}$

$\frac{2}{15}$

$\frac{1}{15}$

$\frac{1}{10}$

Correct answer:

$\frac{1}{30}$

Explanation:

When dividing fractions, first we need to flip the second fraction. Then multiply the numerators together and multiply the denominators together:

$\frac{15}{30}\div15=\frac{15}{30}*\frac{1}{15}=\frac{15*1}{30*15}$

Simplify the fraction to get the final answer:

$\frac{15*1}{30*15}=\frac{1}{30}$

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Example Question #6 : Division With Fractions

Divide these fractions:

$\frac{8}{56}\div \frac{1}{8}$

Possible Answers:

$\frac{1}{7}$

$1\frac{2}{7}$

$1\frac{1}{7}$

$1\frac{6}{7}$

Correct answer:

$1\frac{1}{7}$

Explanation:

When dividing fractions, first we need to flip the second fraction. Then multiply the numerators together and multiply the denominators together:

$\frac{8}{56}\div \frac{1}{8}=\frac{8}{56}*{8}=\frac{8*8}{56}=\frac{64}{56}$

Simplify the fraction to get the final answer:

$\frac{64}{56}\div \frac{8}{8}=\frac{8}{7}=1\frac{1}{7}$

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Example Question #24 : Multiplying And Dividing Fractions

Divide these fractions:

$\frac{49}{84}\div \frac{14}{3}$

Possible Answers:

$1\frac{1}{8}$

$\frac{1}{8}$

$\frac{3}{8}$

$\frac{1}{4}$

Correct answer:

$\frac{1}{8}$

Explanation:

When dividing fractions, first we need to flip the second fraction. Then multiply the numerators together and multiply the denominators together:

$\frac{49}{84}\div \frac{14}{3}=\frac{49}{84}*\frac{3}{14}=\frac{49*3}{84*14}$

Simplify the fraction to get the final answer:

$\frac{49*3}{84*14}=\frac{7*3}{84*2}=\frac{21}{168}$

$\frac{21}{168}\div \frac{21}{21}=\frac{1}{8}$

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Example Question #7 : Division With Fractions

Divide these fractions:

$\frac{36}{16}\div \frac{3}{2}$

Possible Answers:

$\frac{1}{3}$

$\frac{1}{2}$

$1\frac{1}{3}$

$1\frac{1}{2}$

Correct answer:

$1\frac{1}{2}$

Explanation:

When dividing fractions, first we need to flip the second fraction. Then multiply the numerators together and multiply the denominators together:

$\frac{36}{16}\div \frac{3}{2}=\frac{36}{16}* \frac{2}{3}=\frac{36*2}{16*3}=\frac{72}{48}$

Simplify the fraction to get the final answer:

$\frac{72}{48}\div \frac{12}{12}=\frac{6}{4}\div \frac{2}{2}=\frac{3}{2}=1\frac{1}{2}$

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Example Question #21 : Operations With Fractions

Divide these fractions:

$\frac{12}{54}\div6$

Possible Answers:

$\frac{2}{27}$

$\frac{1}{28}$

$1\frac{1}{27}$

$\frac{1}{27}$

Correct answer:

$\frac{1}{27}$

Explanation:

When dividing fractions, first we need to flip the second fraction. Then multiply the numerators together and multiply the denominators together:

$\frac{12}{54}\div6=\frac{12}{54}*\frac{1}{6}=\frac{12*1}{54*6}=\frac{12}{324}$

Simplify the fraction to get the final answer:

$\frac{12}{324}\div \frac{12}{12}=\frac{1}{27}$

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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 #1871 : Mathematical Relationships And Basic Graphs

Example Question #1872 : Mathematical Relationships And Basic Graphs

Example Question #1873 : Mathematical Relationships And Basic Graphs

Example Question #1874 : Mathematical Relationships And Basic Graphs

Example Question #1875 : Mathematical Relationships And Basic Graphs

Example Question #5 : Division With Fractions

Example Question #6 : Division With Fractions

Example Question #24 : Multiplying And Dividing Fractions

Example Question #7 : Division With Fractions

Example Question #21 : Operations With Fractions

All Algebra II Resources

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