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Mathematics 8 Online
OpenStudy (anonymous):

-7/9 * 3/5

OpenStudy (anonymous):

-21 over 45

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

you are welcome

OpenStudy (mathstudent55):

To multiply fractions together, multiply their numerators together, and multiply their denominators together. Then reduce if necessary. The rule is: \( \dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd} \) Here's an example: \(\dfrac{4}{7} \times \dfrac{3}{5} = \dfrac{4 \times 3}{7 \times 5}=\dfrac{12}{35}\)

OpenStudy (mathstudent55):

Your example is: \(- \dfrac{7}{9} \times \dfrac{3}{5} \) Since you are multiplying a negative number by a positive number, the result will be negative. Now use the rule of multiplying fractions: \(= - \dfrac{7 \times 3}{9 \times 5} \) \(= - \dfrac{21}{45} \) Since the numerator and denominator are both divisible by 3, reduce: \(=- \dfrac{3 \times 7}{3 \times 15} \) Now simplify: \(=- \dfrac{\cancel3 \times 7}{\cancel3 \times 15} \) \(=-\dfrac{7}{15} \) This is the final answer.

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