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ISEE Middle Level Math : How to multiply fractions

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Example Questions

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Example Question #31 : How To Multiply Fractions

Simplify the following:

$\frac{2}{3} \cdot \frac{1}{4}$

Possible Answers:

$\frac{1}{6}$

$\frac{11}{12}$

$\frac{21}{34}$

$\frac{3}{7}$

Correct answer:

$\frac{1}{6}$

Explanation:

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. When multiplying, we do NOT need the denominators to be the same. So,

$\frac{2}{3} \cdot \frac{1}{4}$

We will multiply straight across. We get

$\frac{2 \cdot 1}{3 \cdot 4}$

$\frac{2}{12}$

This can be simplified to

$\frac{1}{6}$

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Example Question #32 : How To Multiply Fractions

Multiply the following:

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

Possible Answers:

$\frac{10}{12}$

$\frac{6}{8}$

$\frac{8}{15}$

$\frac{4}{5}$

$\frac{22}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

When multiplying fractions, we will multiply the numerators together, then multiply the denominators together. We do NOT have to find a common denominator. So,

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

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

$\frac{8}{15}$

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Example Question #33 : How To Multiply Fractions

Para

The above parallelogram, which has been divided into triangles of equal area, has a total area of 120. What is the area of the shaded region?

Possible Answers:

100

Correct answer:

Explanation:

18 of 24 triangles have been shaded in; this is $\frac{18}{24} = \frac{3}{4}$ of the parallelogram. Since the area of the entire parallelogram is 120, the area of the shaded region is $\frac{3}{4}$ of 120, or

$\frac{3}{4} \times 120 = \frac{360}{4} = 90$ .

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Example Question #31 : How To Multiply Fractions

Hexagon

The above hexagon, which is divided into triangles of equal size, has area 96. What is the area of the shaded region?

Possible Answers:

Correct answer:

Explanation:

7 of the 12 triangles - $\frac{7}{12}$ of the hexagon - is shaded in. Therefore, the area of the shaded region is $\frac{7}{12}$ of 96. or

$\frac{7}{12} \times 96 = \frac{7}{12} \times \frac{96 }{1} = \frac{7}{1} \times \frac{8}{1} = 56$ .

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Example Question #31 : How To Multiply Fractions

Multiply the following:

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

Possible Answers:

$\frac{6}{8}$

$\frac{10}{12}$

$\frac{22}{15}$

$\frac{4}{15}$

$\frac{8}{15}$

Correct answer:

$\frac{8}{15}$

Explanation:

When multiplying fractions, we will first multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

Given the fractions

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

we will multiply straight across. We get

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

$\frac{8}{15}$

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Example Question #36 : How To Multiply Fractions

Multiply the following:

$\frac{8}{9} \cdot \frac{1}{2}$

Possible Answers:

$\frac{4}{9}$

$\frac{16}{18}$

$\frac{9}{11}$

$\frac{4}{5}$

$\frac{5}{6}$

Correct answer:

$\frac{4}{9}$

Explanation:

To multiply fractions, we will first multiply the numerators, then we will multiply the denominators. Note that we do NOT need to find a common denominator.

So, in the problem

$\frac{8}{9} \cdot \frac{1}{2}$

we will multiply straight across. We get

$\frac{8 \cdot 1}{9 \cdot 2}$

$\frac{8}{18}$

Now, we can simplify. We can divide each part of the fraction by 2. We get

$\frac{4}{9}$

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Example Question #37 : How To Multiply Fractions

Multiply the following:

$\frac{6}{17} \cdot 2$

Possible Answers:

$\frac{12}{17}$

$\frac{6}{17}$

$\frac{8}{19}$

$\frac{12}{34}$

$\frac{3}{17}$

Correct answer:

$\frac{12}{17}$

Explanation:

To multiply fractions, we will first multiply the numerators, then we will multiply the denominators. Note that we do NOT need to find a common denominator. So if we look at the problem,

$\frac{6}{17} \cdot 2$

we will first write in fraction form, so we can multiply. We get

$\frac{6}{17} \cdot \frac{2}{1}$

Now we multiply straight across.

$\frac{6 \cdot 2}{17 \cdot 1}$

$\frac{12}{17}$

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Example Question #38 : How To Multiply Fractions

Multiply the following:

$\frac{2}{5} \cdot \frac{1}{5}$

Possible Answers:

$\frac{3}{5}$

$\frac{1}{5}$

$\frac{2}{25}$

$\frac{2}{5}$

$\frac{1}{25}$

Correct answer:

$\frac{2}{25}$

Explanation:

To multiply fractions, we will simply multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator. So,

$\frac{2}{5} \cdot \frac{1}{5}$

$\frac{2 \cdot 1}{5 \cdot 5}$

$\frac{2}{25}$

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Example Question #221 : Fractions

Multiply the following:

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

Possible Answers:

$\frac{2}{5}$

$\frac{1}{25}$

$\frac{2}{10}$

$\frac{3}{10}$

$\frac{3}{5}$

Correct answer:

$\frac{1}{25}$

Explanation:

To multiply fractions, we will first multiply the numerators, then we will multiply the denominators. Note that we do not need to find common denominators. So,

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

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

$\frac{2}{50}$

$\frac{1}{25}$

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Example Question #40 : How To Multiply Fractions

Multiply the following:

$\frac{1}{7} \cdot \frac{6}{11}$

Possible Answers:

$\frac{7}{18}$

$\frac{5}{11}$

$\frac{53}{77}$

$\frac{6}{77}$

$\frac{6}{7}$

Correct answer:

$\frac{6}{77}$

Explanation:

When multiplying fractions, we will simply multiply the numerators together, then the denominators together. Note that we do NOT need to find a common denominator. So,

$\frac{1}{7} \cdot \frac{6}{11}$

we multiply straight across. We get

$\frac{1 \cdot 6}{7 \cdot 11}$

$\frac{6}{77}$

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ISEE Middle Level Math : How to multiply fractions

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #31 : How To Multiply Fractions

Example Question #32 : How To Multiply Fractions

Example Question #33 : How To Multiply Fractions

Example Question #31 : How To Multiply Fractions

Example Question #31 : How To Multiply Fractions

Example Question #36 : How To Multiply Fractions

Example Question #37 : How To Multiply Fractions

Example Question #38 : How To Multiply Fractions

Example Question #221 : Fractions

Example Question #40 : How To Multiply Fractions

All ISEE Middle Level Math Resources

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