### About Multiplying Fractions:

In order to multiply two fractions together, we find the product of the numerators and place the result over the product of the denominators. We then simplify our fraction by canceling out the Greatest Common Factor from our numerator and denominator.

Test Objectives

- Demonstrate the ability to find the product of two fractions
- Demonstrate the ability to find the product of more than two fractions
- Demonstrate the ability to reduce a fraction to its lowest terms

#1:

Instructions: Find each product.

a) $$\frac{47}{20}\cdot \frac{8}{21}$$

b) $$\frac{35}{34}\cdot -\frac{27}{37}$$

c) $$\frac{16}{25}\cdot \frac{15}{46}$$

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#2:

Instructions: Find each product.

a) $$\frac{50}{21}\cdot -\frac{49}{25}$$

b) $$\frac{35}{13}\cdot \frac{39}{56}$$

c) $$\frac{12}{17}\cdot \frac{1}{18}\cdot \frac{34}{35}$$

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#3:

Instructions: Find each product.

a) $$-9 \cdot \frac{1}{8}\cdot \frac{4}{3}\cdot \frac{12}{13}$$

b) $$-\frac{1}{4}\cdot \frac{5}{9}\cdot \frac{8}{15}\cdot -\frac{6}{25}$$

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#4:

Instructions: Find each product.

a) $$\frac{23}{37}\cdot \frac{49}{46}\cdot -\frac{111}{7}\cdot \frac{3}{14}$$

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#5:

Instructions: Solve each word problem.

a) Ralph invited fifteen people to his graduation party. Two-thirds of the people invited, attended the party. How many people came to the event?

b) Jacob has sixty-three dollars in his checking account. He visits a local store and spends one-ninth of that money on food. How much is left in Jacob's checking account after his trip to the store?

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Written Solutions:

#1:

Solutions:

a) $$\frac{94}{105}$$

b) $$-\frac{945}{1{,}258}$$

c) $$\frac{24}{115}$$

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#2:

Solutions:

a) $$-\frac{14}{3}$$

b) $$\frac{15}{8}$$

c) $$\frac{4}{105}$$

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#3:

Solutions:

a) $$-\frac{18}{13}$$

b) $$\frac{4}{225}$$

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#4:

Solutions:

a) $$-\frac{9}{4}$$

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#5:

Solutions:

a) 10 people attended Ralph's graduation.

b) Jacob has $56 dollars left in his checking account, after his trip to the store.