How many pounds? How many ounces? --part 3.

In the preceding post, we found the following equations for the weight of my newborn: 

` \qquad \qquad \qquad (7 " lb."  xx  \frac{16 " oz."}{"lb."})  +  12 " oz."  =  124 " oz.,"  `

and

` \qquad \qquad \qquad 7 " lb."  +  ( \frac{16 " oz."}{"lb."} "  "\\"  " 12 " oz.")  =  7\frac{3}{4} " lb."  `

 These equations conform to the quantities convention.  With the numbers convention, they would be :

` \qquad \qquad \qquad (7  xx  16)  +  12  =  124,  `

and

` \qquad \qquad \qquad 7  +  (16  \\  12)  =  7\frac{3}{4}.  `

Here, simply dropping the units in the quantities convention version gives the corresponding version for the numbers convention.  In modern technical usage, quantities convention expressions are almost always written so that this is guaranteed to happen: such expressions are to be "consistent" or "homogeneous".