Multiplying and Dividing Fractions - Algebra 2

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Multiply these fractions:

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

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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}$

Multiply the fractions:

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

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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}$

Multiply the fractions:

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

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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}$

Multiply the fractions:

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

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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}$

Multiply the fractions:

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

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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}$

Multiply the fractions:

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

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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}$

Divide the fractions:

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

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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}$

Divide the fractions:

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

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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}$

Divide the fractions:

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

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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}$

Divide the fractions:

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

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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}$

Multiply:

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

Multiply:

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

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Multiply the numerators and denominators. Then, simplify.

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

Multiply:

$\left($\frac{15}{7x}$\right)\cdot $\left($\frac{12x^2$}{5}\right)$

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Multiply the numerators and denominators, then simplify.

Multiply these fractions:

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

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

$\frac{1}{2}$$\frac{2}{3}$=\frac{12}{2*3}$=\frac{2}{6}$

Simply the fraction to get the final answer:

$\frac{2}{6}$\div $\frac{2}{2}$=\frac{1}{3}$

Multiply these fractions:

$\frac{5}{7}$*$\frac{1}{3}$

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

$\frac{5}{7}$$\frac{1}{3}$=\frac{51}{7*3}$=\frac{5}{21}$

Divide the fractions:

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

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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}$=2$

Divide the fractions:

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

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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}$

Multiply:

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

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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.

Divide the fractions: $$\frac{\frac{1}{3}$\div$\frac{1}{9}$}{$\frac{7}{2}$}$

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Evaluate the top term first. We can change the sign to multiplication and take the reciprocal of the second term.

$$\frac{1}{3}$\div$\frac{1}{9}$ = $\frac{1}{3}$\times $\frac{9}{1}$ = 3$

Rewrite the fraction.

$$\frac{\frac{1}{3}$\div$\frac{1}{9}$}{$\frac{7}{2}$}=\frac{3}{\frac{7}${2}}$

Write the complex fraction using the division sign and repeat the process.

$\frac{3}{\frac{7}${2}}= 3\div $\frac{7}{2}$= 3\times $\frac{2}{7}$ =\frac{6}{7}$

The answer is: $\frac{6}{7}$

Multiply:

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