Multiplication with Fractions - Basic Arithmetic

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Question

Multiply:

$\frac{5}{6}\times\frac{12}{25}=?$

Answer

Multiply the numerators together, then multiply the denominators together.

$\frac{5}{6}\times\frac{12}{25}=\frac{5 \times 12}{6\times25}=\frac{60}{150}$

To simplfy we can pull out a from the numerator and denominator, thus canceling them. The following answer is the result:

$=\frac{30\cdot2}{30\cdot5}=\frac{2}{5}$

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Question

In a classroom of 36, $\frac{1}{3}$ of the students are girls. If $\frac{1}{6}$ of the girls enjoy eating strawberries, and $\frac{1}{3}$ of the boys also enjoy eating strawberries, how many total students in the class enjoy eating strawberries?

Answer

First, find out how many girls and boys are in the class.

Multiply 36 by $\frac{1}{3}$ to find the number of girls.

$36\times \frac{1}{3}=12$

Then, subtract the number of girls from the total number of students in the class to find the number of boys.

Now, we can figure out how many girls enjoy eating strawberries. Multiply the total number of girls by the fraction of girls who enjoy eating strawberries.

$12\times\frac{1}{6}=2$

Now, do the same with the boys.

$24\times\frac{1}{3}=8$

Add these two numbers together to get the total number of students who enjoy eating strawberries.

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Question

Solve and simplify.

$\frac{3}{4} \times \frac{4}{6}$

Answer

When multiplying fractions, you simply multiply the numerators and then multiply the denominators. Then simplify the fraction.

$\frac{3}{4} \times \frac{4}{6}=\frac{3\cdot 4}{4 \cdot 6}$

$=\frac{12}{24}=\frac{1\cdot 12}{2 \cdot 12}=\frac{1}{2}$

(Note: by dividing both our numerator and our denominator by , gives us our final answer of $\frac{1}{2}$ .

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Question

Please choose the best answer for the question below.

$\frac{1}{2} \times\frac{36}{55}=$

Answer

To do this problem, simply multiply through (i.e. numerator by numerator and denominator by denominator):

$1/2 \cdot 36/55 = 36/110$

And then reduce to find your answer--both and are divisible by two.

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Question

Evaluate the following:

$-\frac{4}{5}\cdot\left ( \frac{1}{2} \right )^{2}$

Answer

This problem involves order of operations.

The correct order is: Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction.

Rewrite the exponent and cancel out the 4 on the numerator and denominator.

$-\frac{4}{5}\cdot\frac{1}{4}= -\frac{1}{5}$

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Question

Multiply these fractions:

$\frac{5}{12}*\frac{3}{7}$

Answer

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

$\frac{5}{12}\frac{3}{7}=\frac{53}{12*7}=\frac{15}{84}$

Simply the fraction to get the final answer:

$\frac{15}{84}\div \frac{3}{3}=\frac{5}{28}$

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Question

Multiply these fractions:

$\frac{7}{9}*\frac{1}{14}$

Answer

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

$\frac{7}{9}\frac{1}{14}=\frac{71}{9*14}=\frac{7}{126}$

Simply the fraction to get the final answer:

$\frac{7}{126}\div \frac{7}{7}=\frac{1}{18}$

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Question

Multiply these fractions:

$\frac{2}{3}*\frac{5}{6}$

Answer

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

$\frac{2}{3}\frac{5}{6}=\frac{25}{3*6}=\frac{10}{18}$

Simply the fraction to get the final answer:

$\frac{10}{18}\div \frac{2}{2}=\frac{5}{9}$

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Question

Multiply these fractions:

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

Answer

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:

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

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Question

Multiply these fractions:

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

Answer

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

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

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Question

Multiply these fractions:

$\frac{4}{9}*\frac{3}{7}$

Answer

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

$\frac{4}{9}\frac{3}{7}=\frac{43}{9*7}=\frac{12}{63}$

Simply the fraction to get the final answer:

$\frac{12}{63}\div \frac{3}{3}=\frac{4}{21}$

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Question

Multiply these fractions:

$\frac{8}{9}*\frac{3}{4}$

Answer

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

$\frac{8}{9}\frac{3}{4}=\frac{83}{9*4}=\frac{24}{36}$

Simplify the fraction to get the final answer:

$\frac{24}{36}\div \frac{6}{6}=\frac{4}{6}\div \frac{2}{2}=\frac{2}{3}$

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Question

Multiply these fractions:

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

Answer

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

$\frac{1}{10}\frac{2}{5}=\frac{12}{10*5}=\frac{2}{50}$

Simply the fraction to get the final answer:

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

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Question

Multiply these fractions:

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

Answer

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

$\frac{1}{12}\frac{4}{5}=\frac{14}{12*5}=\frac{4}{60}$

Simply the fraction to get the final answer:

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

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Question

Multiply these fractions:

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

Answer

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

$\frac{1}{4}\frac{6}{7}=\frac{16}{4*7}=\frac{6}{28}$

Simply the fraction to get the final answer:

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

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Question

Multiply these fractions:

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

Answer

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

$\frac{12}{17}\frac{5}{4}=\frac{125}{17*4}=\frac{60}{68}$

Simply the fraction to get the final answer:

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

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