You want the largest number here. Both 14/9 and 3/2 are greater than one, so the other options can be eliminated. You can either convert to decimals, or put them over a common denominator.
For decimals, divide 14 by 9 to get 1.556. Then divide 3 by 2 to get 1.5.
If you want to stay in fractions, put them over a common denominator (18 in this case). 14*2->28/18. 3*9->27/18. In both cases, 14/9 is greater so you know your math is correct. 14/9 is the answer.
-6+4m = 6+10m
+6 +6
4m = 12+10m
divide by 10 both sides
.4m = 12
~another way~
-6+4m = 6+10m
-6 -6
0+4m = 10m
divide by 4 on both sides
2.5m
