Perkalian Pecahan yang Menarik

Dalam buku “Professor Stewart’s Cabinet of Mathematical Curiosities” karangan Ian Stewart, ada perkalian pecahan yang menarik:

perkalian-menarik-1

Eit, jangan terlalu cepat menyimpulkan bahwa hasil perkalian di atas salah! Coba periksa lagi, hasilnya betul kan?

Nah, sekarang tentukan semua bentuk perkalian pecahan

perkalian-menarik-2

yang benar, dengan a, b, c, d ∈ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

*

Bandung, 29-10-2016

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