Answer: The mixed number 5 & 1/2
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Work Shown:
1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2
3 & 2/3 = 3 + 2/3 = 9/3 + 2/3 = 11/3
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Multiplying 1&1/2 with 3&2/3 is the same as multiplying 3/2 and 11/3
(3/2)*(11/3) = (3*11)/(2*3) = 11/2
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Use long division to find that 11/2 = 5 & 1/2
Or you can break it up like this
11/2 = (10+1)/2 = 10/2 + 1/2 = 5 + 1/2 = 5 & 1/2