Question

What is 1/2 of 1/4 of 2/9 of 3/7 of 84?*Please Show Work*

Answer 1

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.

  $\dfrac{1}{2}\cdot\dfrac{1}{4}\cdot\dfrac{2}{9}\cdot\dfrac{3}{7}\cdot 84=\dfrac{2\cdot 3\cdot 4\cdot 21}{2\cdot 4\cdot 3\cdot 3\cdot 7}=\dfrac{2^3\cdot 3^2\cdot 7}{2^2\cdot 3^2\cdot 7}=1$