Question

What is 1/2 of 1/4 of 2/9 of 3/7 of 84?

*Please Show Work*

Answer 1

1

Step-by-step 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.

`(1)/(2)\cdot(1)/(4)\cdot(2)/(9)\cdot(3)/(7)\cdot 84=(2\cdot 3\cdot 4\cdot 21)/(2\cdot 4\cdot 3\cdot 3\cdot 7)=(2^3\cdot 3^2\cdot 7)/(2^2\cdot 3^2\cdot 7)=1`