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Dividing by a fraction is the same as multiplying by its reciprocal: (a/b) ÷ (c/d) = (a/b) × (d/c) = ad/bc.
Dividing fractions
(a/b) ÷ (c/d) = ad / bc
3/4 × 5/2 = 15/8 = 1 7/8 = 1.875.
Dividing by c/d asks how many c/d fit into a/b; multiplying by d/c undoes the scaling, which is the definition of a multiplicative inverse.