When you're multiplying fractions by an integer (or a whole number) you multiply the numerator of the fraction by the whole number, whilst the denominator of the fraction stays the same.

Waadeland, Haakon 1991. Boundary version of a twin region convergence theorem for continued fractions. Journal of Computational and Applied Mathematics, Vol. 36, Issue. 3, p. 361.

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Split the length into thirds. The rectangle is now split into 6 parts (sixths). To work out 4⁄5 × 3⁄8, multiply the numerators (4 x 3 = 12) and multiply the denominators (5 × 8 = 40).