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Cassie and Amy are playing a flash card math game. Cassie has a card with a fraction -2/7 and Amy has a card with a fraction -3/4. Write expression to represent the product of their fractions then solve the equation

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The product of the values -2/7 and -3/4 is 3/14

  • Cassie's fraction = [tex] - \frac{2}{7} [/tex]

  • Amy's fraction = [tex] - \frac{3}{4} [/tex]

The multiplication expression which relates Cassie's fraction with Amy's can be written thus :

  • Cassie's fraction × Amy's fraction

  • [tex] - \frac{2}{7} \times - \frac{3}{4} = \frac{(2\times3)}{(7\times4)} = \frac{6}{28} = \frac{3}{14}[/tex]

  • The negative cancels out after multiplying both values.

Therefore, the multiplication result of the two fractional values is [tex] \frac{3}{14} [/tex]

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