 Fat soluble vitamins are: 1. Vitamin A 2. Vitamin D 3. Vitamin E 4. Vitamin K  This type of vitamin requires fat in order to be absorbed or used by your body.  Any extra fat soluble vitamins are stored in body fat.  Fat soluble vitamins can build up in your body and become toxic.
http://iuhealth.org/images/nor-doc-upl/Why_Are_Vitamins_Important_Part_2_Fat_Soluble.pdf
Vitamin A can be found in two principal forms in foods 1  : Retinol, the form of vitamin A absorbed when eating animal food sources, is a yellow, fat-soluble substance. 2  Since the pure alcohol form is unstable, the vitamin is found in tissues in a form of retinyl ester.
https://en.wikipedia.org/wiki/Vitamin_A
Vitamin D is a group of fat-soluble vitamins. They are considered prohormones, or the precursors to hormones, and are essential to endocrine health. There are several forms of vitamin D, but the most common are ergocalciferol (vitamin D2) and cholecalciferol (vitamin D3) which are known together as calciferol.
http://nourishedkitchen.com/fat-soluble-vitamins/
In foods of animal origin, the major form of vitamin A is an ester, primarily retinyl palmitate, which is converted to retinol (chemically an alcohol) in the small intestine. The retinol form functions as a storage form of the vitamin, and can be converted to and from its visually active aldehyde form, retinal.
https://en.wikipedia.org/wiki/Vitamin_A
Fat-soluble Vitamins. A, D, E and K vitamins are fat-soluble due to their ability to dissipate in fat. In contrast to water-soluble vitamins, these types of vitamins do not require frequent replenishments. Fat-soluble vitamins absorb dietary fat in the small intestines with a tendency to accumulate the excess amounts in the liver and fatty tissues.
http://readanddigest.com/different-types-of-vitamins-and-their-functions/
Best Food Sources: Vegetable oil, nuts, seeds, leafy vegetables, avocado, and fortified cereals. Deficiency Rare to have deficiency in vitamin E, but symptoms are muscle weakness and spasms. Cell membrane weakness.  Function: 1. Essential for blood clotting 2. Bone health. We all know about calcium and vitamin D is important for bone health.
http://iuhealth.org/images/nor-doc-upl/Why_Are_Vitamins_Important_Part_2_Fat_Soluble.pdf
Prevent cancer 3. Treating diabetes and high blood pressure Best Food Sources: Fortified Milk, fatty fish (sardines, salmon, mackeral,) and fortified cereals, juices, and yogurt. Types of Vitamin D 1. D2 – Inactive form. Activated to vitamin D3 when skin is exposured to sunlight.
http://iuhealth.org/images/nor-doc-upl/Why_Are_Vitamins_Important_Part_2_Fat_Soluble.pdf
Water-Soluble Vitamins. These types of vitamins require regular supply in the form of dietary sources or supplements. These are nontoxic and easily absorbed into the body through the gastrointestinal tract and then disseminated in the tissues.
http://readanddigest.com/different-types-of-vitamins-and-their-functions/
Vitamin A is a group of unsaturated nutritional organic compounds, that includes retinol, retinal, retinoic acid, and several provitamin A carotenoids, and beta-carotene. Vitamin A has multiple functions: it is important for growth and development, for the maintenance of the immune system and good vision.
https://en.wikipedia.org/wiki/Vitamin_A
1 Retinol, the form of vitamin A absorbed when eating animal food sources, is a yellow, fat-soluble substance. 2  Since the pure alcohol form is unstable, the vitamin is found in tissues in a form of retinyl ester. 3  It is also commercially produced and administered as esters such as retinyl acetate or palmitate.
https://en.wikipedia.org/wiki/Vitamin_A
what kind of vitamins are a d e and k
Vitamins A, D, E, and K are fat soluble vitamins. Vitamins A, D, E and K are fat-soluble vitamins.