SOLUTION: What is: 2 1/6 divided by 3 1/3 times 6 1/4 divided by 4 1/3?

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Question 340340: What is: 2 1/6 divided by 3 1/3 times 6 1/4 divided by 4 1/3?
Found 2 solutions by CharlesG2, bwpbruce:
Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
What is: 2 1/6 divided by 3 1/3 times 6 1/4 divided by 4 1/3?

2 1/6 = 12/6 + 1/6 = 13/6 (12/6 = 2)
3 1/3 = 9/3 + 1/3 = 10/3 (9/3 = 3)
6 1/4 = 24/4 + 1/4 = 25/4 (24/4 = 6)
4 1/3 = 12/3 + 1/3 = 13/3 (12/3 = 4)

13/6 divided by 10/3 = 13/6 * 3/10
(when you divided 2 fractions you multiply by the reciprocal of the 2nd fraction)
13/6 * 3/10 = 39/60 = 13/20

13/20 times 25/4 = 13/20 * 25/4 = 325/80 = 65/16
(multiplied straight across then simplified)

65/16 divided by 13/3 = 65/16 * 3/13
65/16 * 3/13 = 195/208
195/208 = 0.9375 in decimal form --> this is your answer

Answer by bwpbruce(7) About Me  (Show Source):
You can put this solution on YOUR website!
Given: %28%282+%2B+1%2F6%29%2F%28+3+%2B+1%2F3%29%29%2A%28%286+%2B+1%2F4%29%2F%284+%2B+1%2F3%29%29

Mentally multiply the fraction on the left by 6/6 and the fraction on the right by 12/12 to get:
%28%2812+%2B+1%29%2F%2818+%2B+2%29%29%2A%28%2872+%2B+3%29%2F%2848+%2B+4%29%29

Simplify
%2813%2F20%29%2A%2875%2F52%29
%2813%2F52%29%2A%2875%2F20%29
%281%2F4%29%2A%285%2815%29%2F5%284%29%29
%281%2F4%29%2A%2815%2F4%29
%2815%2F16%29