Choosing fat-free or low-fat dairy products and nixing the full-fat versions is one of the easiest ways to cut saturated fat from your diet. Choosing skim milk instead of whole saves 5 grams of saturated fat per cup. Prefer 1% milk? A cup contains 1.5 grams of saturated fat, whereas a cup of whole milk boasts 5 grams. Replacing full-fat yogurt with low-fat yogurt saves 4.5 grams.