The fair spinner shown is spun once. What is the probability of spinning an odd number? Express your answer as a common fraction.

[asy]
dot((0,0));

draw((3,0)--(3,3)--(0,3));
import graph;
draw(Circle((0,0),25));
draw((0,-25)--(0,25));
draw((0,0)--(25,0));
draw((0,0)--(-15,9),Arrow);
label("15",(-10,0),W);
label("23",(10,10),NE);
label("14",(10,-10),SE);
[/asy]
The central angles of the two regions corresponding to odd numbers are 180 degrees and 90 degrees.  Therefore, the probability of spinning an odd number is $\frac{180+90}{360}=\boxed{\frac{3}{4}}$.