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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #4531 : Algebra Ii

Multiply these fractions:

$\frac{1}{10}*\frac{2}{5}$ $\displaystyle \frac{1}{10}*\frac{2}{5}$

Possible Answers:

$\frac{3}{25}$ $\displaystyle \frac{3}{25}$

$\frac{2}{25}$ $\displaystyle \frac{2}{25}$

$\frac{1}{25}$ $\displaystyle \frac{1}{25}$

$\frac{1}{50}$ $\displaystyle \frac{1}{50}$

Correct answer:

$\frac{1}{25}$ $\displaystyle \frac{1}{25}$

Explanation:

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

$\frac{1}{10}*\frac{2}{5}=\frac{1*2}{10*5}=\frac{2}{50}$ $\displaystyle \frac{1}{10}*\frac{2}{5}=\frac{1*2}{10*5}=\frac{2}{50}$

Simply the fraction to get the final answer:

$\frac{2}{50}\div \frac{2}{2}=\frac{1}{25}$ $\displaystyle \frac{2}{50}\div \frac{2}{2}=\frac{1}{25}$

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Example Question #4532 : Algebra Ii

Multiply these fractions:

$\frac{1}{12}*\frac{4}{5}$ $\displaystyle \frac{1}{12}*\frac{4}{5}$

Possible Answers:

$\frac{4}{15}$ $\displaystyle \frac{4}{15}$

$\frac{1}{5}$ $\displaystyle \frac{1}{5}$

$\frac{2}{15}$ $\displaystyle \frac{2}{15}$

$\frac{1}{15}$ $\displaystyle \frac{1}{15}$

Correct answer:

$\frac{1}{15}$ $\displaystyle \frac{1}{15}$

Explanation:

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

$\frac{1}{12}*\frac{4}{5}=\frac{1*4}{12*5}=\frac{4}{60}$ $\displaystyle \frac{1}{12}*\frac{4}{5}=\frac{1*4}{12*5}=\frac{4}{60}$

Simply the fraction to get the final answer:

$\frac{4}{60}\div \frac{4}{4}=\frac{1}{15}$ $\displaystyle \frac{4}{60}\div \frac{4}{4}=\frac{1}{15}$

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Example Question #4533 : Algebra Ii

Multiply these fractions:

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

Possible Answers:

$\frac{5}{14}$ $\displaystyle \frac{5}{14}$

$\frac{3}{14}$ $\displaystyle \frac{3}{14}$

$\frac{2}{7}$ $\displaystyle \frac{2}{7}$

$\frac{1}{14}$ $\displaystyle \frac{1}{14}$

Correct answer:

$\frac{3}{14}$ $\displaystyle \frac{3}{14}$

Explanation:

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

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

Simply the fraction to get the final answer:

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

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Example Question #4534 : Algebra Ii

Multiply these fractions:

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

Possible Answers:

$\frac{13}{17}$ $\displaystyle \frac{13}{17}$

$\frac{15}{17}$ $\displaystyle \frac{15}{17}$

$\frac{16}{17}$ $\displaystyle \frac{16}{17}$

$\frac{14}{17}$ $\displaystyle \frac{14}{17}$

Correct answer:

$\frac{15}{17}$ $\displaystyle \frac{15}{17}$

Explanation:

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

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

Simply the fraction to get the final answer:

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

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Example Question #4535 : Algebra Ii

Multiply these fractions:

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

Possible Answers:

$\frac{10}{27}$ $\displaystyle \frac{10}{27}$

$\frac{7}{27}$ $\displaystyle \frac{7}{27}$

$\frac{8}{27}$ $\displaystyle \frac{8}{27}$

$\frac{6}{27}$ $\displaystyle \frac{6}{27}$

Correct answer:

$\frac{8}{27}$ $\displaystyle \frac{8}{27}$

Explanation:

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

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

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Example Question #4536 : Algebra Ii

Divide these fractions:

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

Possible Answers:

$1\frac{1}{2}$ $\displaystyle 1\frac{1}{2}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\displaystyle 1$

Correct answer:

$\displaystyle 1$

Explanation:

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

Then multiply the numerators together and multiply the denominators together:

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

Simplify the fraction to get the final answer:

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

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Example Question #4537 : Algebra Ii

Divide these fractions:

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

Possible Answers:

$2\frac{3}{12}$ $\displaystyle 2\frac{3}{12}$

$\displaystyle 2$

$1\frac{1}{12}$ $\displaystyle 1\frac{1}{12}$

$2\frac{1}{12}$ $\displaystyle 2\frac{1}{12}$

Correct answer:

$2\frac{1}{12}$ $\displaystyle 2\frac{1}{12}$

Explanation:

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

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

Simplify the fraction to get the final answer:

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

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Example Question #1 : Division With Fractions

Divide these fractions:

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

Possible Answers:

$\frac{1}{30}$ $\displaystyle \frac{1}{30}$

$\frac{2}{15}$ $\displaystyle \frac{2}{15}$

$\frac{1}{10}$ $\displaystyle \frac{1}{10}$

$\frac{1}{15}$ $\displaystyle \frac{1}{15}$

Correct answer:

$\frac{1}{30}$ $\displaystyle \frac{1}{30}$

Explanation:

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

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

Simplify the fraction to get the final answer:

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

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Example Question #2 : Division With Fractions

Divide these fractions:

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

Possible Answers:

$\frac{1}{7}$ $\displaystyle \frac{1}{7}$

$1\frac{2}{7}$ $\displaystyle 1\frac{2}{7}$

$1\frac{1}{7}$ $\displaystyle 1\frac{1}{7}$

$1\frac{6}{7}$ $\displaystyle 1\frac{6}{7}$

Correct answer:

$1\frac{1}{7}$ $\displaystyle 1\frac{1}{7}$

Explanation:

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

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

Simplify the fraction to get the final answer:

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

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Example Question #196 : Fractions

Divide these fractions:

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

Possible Answers:

$1\frac{1}{8}$ $\displaystyle 1\frac{1}{8}$

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$

$\frac{1}{4}$ $\displaystyle \frac{1}{4}$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Correct answer:

$\frac{1}{8}$ $\displaystyle \frac{1}{8}$

Explanation:

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

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

Simplify the fraction to get the final answer:

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

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

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Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #4531 : Algebra Ii

Example Question #4532 : Algebra Ii

Example Question #4533 : Algebra Ii

Example Question #4534 : Algebra Ii

Example Question #4535 : Algebra Ii

Example Question #4536 : Algebra Ii

Example Question #4537 : Algebra Ii

Example Question #1 : Division With Fractions

Example Question #2 : Division With Fractions

Example Question #196 : Fractions

All Algebra II Resources

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