Sticking flour in the fridge may seem like a late-night blunder, but if we're talking whole-wheat flour, it may not be a bad idea. The wheat germ in whole-wheat flour can go rancid pretty quickly. Once opened, store your whole-wheat flour in the refrigerator or freezer for long-term use. A word of caution—whole-wheat flour has the tendency to pick up unwelcome flavors, so store it in a plastic bag or air tight container and avoid storing it next to anything with a strong odor, such as fresh onions or garlic.