what is 346 over 456 simlified to it's smallest form

Divide both sides by 2 and that is it!.

346  / 456

factor 346 = 2 * 173

factor 456  = 228 * 2  =  114 * 2 * 2   = 57 *2 * 2 * 2  =  19 * 3 * 2^3

So

346 / 456  =

[ 2 * 173]  / [ 19 * 3 * 2^3]   =

[173] / [ 19 * 3 * 2^2]  =

[173] / [ 57 * 4 ] =

[173] / [228]