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The product of 1 1/2 and 2 is

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Method 1:

Convert the mixed number to the improper fraction:


1(1)/(2)=(1\cdot2+1)/(2)=(3)/(2)

Make the product:


1(1)/(2)\cdot2=(3)/(2)\cdot2

canceled 2


=(3)/(\\ot2_1)\cdot\\ot2^1}=\boxed{3}

Method 2:


1(1)/(2)=1+(1)/(2)


1(1)/(2)\cdot2=\left(1+(1)/(2)\right)\cdot2

use the distributive property a(b + c) = ab + ac


(1)(2)+\left((1)/(2)\right)(2)=2+1=\boxed{3}

User Coutier Eric
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