Is sugar free also fat free?

No, sugar-free does not necessarily mean fat-free.

Here's why:

* Sugar and fat are different macronutrients: Sugar is a carbohydrate, while fat is a lipid.

* Sugar-free products often contain fat: To make up for the lack of sweetness, manufacturers often add fat to sugar-free products. This can be in the form of oils, butter, or other fatty ingredients.

* Examples: Sugar-free yogurt, for example, may be low in sugar but still contain fat from milk solids. Sugar-free chocolate often contains fat from cocoa butter.

So, just because a product is sugar-free doesn't mean it's a healthy option. Always check the nutrition label to see the total fat content.