Question

The product of 1 1/2 and 2 is

Answer 1

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}`