Fractions - Algebra II

Card 0 of 1112

Question

Multiply these fractions:

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

Answer

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

$\frac{4}{9}\frac{2}{3}=\frac{42}{3*9}=\frac{8}{27}$

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Question

Multiply the fractions:

$\frac{3}{7}\cdot \frac{14}{23}$

Answer

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

$\frac{3}{7}\cdot \frac{14}{23}=\frac{42}{161}\div \frac{7}{7}=\frac{6}{23}$

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Question

Multiply the fractions:

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

Answer

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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Question

Multiply the fractions:

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

Answer

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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Question

Multiply the fractions:

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

Answer

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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Question

Multiply the fractions:

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

Answer

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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Question

Divide the fractions:

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

Answer

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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Question

Divide the fractions:

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

Answer

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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Question

$\frac{4}{11}+\frac{7}{13}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 11 and 13 is 143. Multiply the first fraction by 13 divided by 13 and the second by 11 divided by 11 . Then add or subtract the resulting fractions.

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Question

$\frac{3}{7}-\frac{5}{13}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 7 and 13 is 91. Multiply the first fraction by 13 divided by 13 and the second by 7 divided by 7 . Then add or subtract the resulting fractions.

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Question

$\frac{4}{9}-\frac{2}{7}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 9 and 7 is 63. Multiply the first fraction by 7 divided by 7 and the second by 9 divided by 9 . Then add or subtract the resulting fractions.

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Question

$\frac{6}{8}+\frac{5}{7}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 8 and 7 is 56. Multiply the first fraction by 7 divided by 7 and the second by 8 divided by 8 . Then add or subtract the resulting fractions.

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Question

$\frac{1}{6}+\frac{4}{5}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 6 and 5 is 30. Multiply the first fraction by 5 divided by 5 and the second by 6 divided by 6 . Then add or subtract the resulting fractions.

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Question

$\frac{2}{3}+\frac{3}{8}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 3 and 8 is 24. Multiply the first fraction by 8 divided by 8 and the second by 3 divided by 3 . Then add or subtract the resulting fractions.

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Question

$\frac{9}{11}+\frac{1}{3}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 11 and 3 is 33. Multiply the first fraction by 3 divided by 3 and the second by 11 divided by 11 . Then add or subtract the resulting fractions.

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Question

$\frac{1}{9}+\frac{3}{6}=$

Answer

Convert each fraction to incorporate a common denominator. The least common denominator of 9 and 6 is 18. Multiply the first fraction by 2 divided by 2 and the second by 3 divided by 3 . Then add or subtract the resulting fractions.È

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Question

Divide the fractions:

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

Answer

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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Question

Divide the fractions:

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

Answer

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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Question

Multiply:

$\left(\frac{ab^2c}{a^{\frac{1}{2}}b^4c^3}\right)\cdot \left(\frac{abc^2}{c}\right)$

Answer

To multiply fractions, multiply the numerators and denominators together, then simplify.

$(\frac{ab^2c}{a^{\frac{1}{2}}b^4c^3})(\frac{abc^2}{c})=\frac{a^2b^3c^3}{a^{\frac{1}{2}}b^4c^4}=\frac{a^{\frac{3}{2}}}{bc}$

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Question

Multiply:

$\left(\frac{4}{5}x\right)\cdot \left(\frac{6}{13}y\right)$

Answer

Multiply the numerators and denominators. Then, simplify.

$(\frac{4}{5}x)(\frac{6}{13}y)=(\frac{4x}{5})(\frac{6y}{13})=\frac{24xy}{65}$

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