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The main reason why the density of ice is lesser than that of water is because of its crystal structure.
As we know, density is mass per unit volume, so the suppose water having volume V and the mass of water is M.
Now when we freeze the same amount of water, when water is converted into ice, some amount of air will trap inside the ice pores. So the overall volume of ice increases V+ V'. Where V' is the volume of gas inside pores of ice.
So density is inversely proportional to volume. In our case, the volume of ice is more than the volume of water. That's why the overall density of ice is lesser than the water.
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