Simple distillation is used to separate liquid from a solution – the liquid boils off and condenses in the condenser, with the thermometer reading the boiling point of the pure liquid.
Fractional distillation separates a mixture of liquids with different boiling points using a fractionating column to condense and vaporize the liquids at different heights.
Filtration separates an insoluble solid suspended in a liquid, where the solid (residue) is caught in filter paper and the liquid that passes through is called the filtrate.
Chromatography separates a mixture of substances dissolved in a solvent by placing a spot of the mixture on paper and allowing the solvent to rise and separate the components.