Remember that a calorie is always a calorie whether it comes from fat or carbohydrate.
Reducing fat and saturated fat in your family's diet is important to maintaining heart health and reducing calories. However, fat-free or reduced-fat food choices aren't always low in calories. They can be high in sugar or other nutrients that increase calories.
Some reduced-fat or fat-free foods provide almost the same number of calories as the regular food. They are not the solution to weight loss. This is especially true if you think you can eat more of a reduced-fat food than you would eat of a regular item.
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Source: National Heart, Lung, and Blood Institute