Answer:
1
Explanation:
As the hints tell you, "of" means "times".
(1/2)(1/4)(2/9)(3/7)(84) = (1·1·2·3·84)/(2·4·9·7) = 504/504 = 1
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This can be done using mental arithmetic by factoring.
[tex]\dfrac{1}{2}\cdot\dfrac{1}{4}\cdot\dfrac{2}{9}\cdot\dfrac{3}{7}\cdot 84=\dfrac{2\cdot 3\cdot 4\cdot 21}{2\cdot 4\cdot 3\cdot 3\cdot 7}=\dfrac{2^3\cdot 3^2\cdot 7}{2^2\cdot 3^2\cdot 7}=1[/tex]
