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Junior high school chemistry quality score
Dividing by a number is equal to multiplying the reciprocal of this number.

The actual mass fraction of an element in the mixture = the actual mass of an element/the mass of the mixture.

Theoretical mass fraction (an element in a pure substance) = actual mass of an element/mass of a pure substance.

Mass fraction of substance "mixture" = actual mass fraction/theoretical mass fraction of an element in the mixture.

= (actual mass of element/mass of mixture)/(actual mass of element/mass of pure substance)

= (actual mass of element/mass of mixture) * (mass of pure substance/actual mass of element)

= pure substance mass/mixture mass