2桁×2桁と3桁×3桁(やりすぎ)

前の続き。
めちゃくちゃ多いです。
・2桁×2桁の場合
\(\frac{10}{60}\times\frac{50}{48}=\frac{1050}{6048}\)
\(\frac{10}{60}\times\frac{80}{75}=\frac{1080}{6075}\)
\(\frac{12}{36}\times\frac{75}{72}=\frac{1275}{3672}\)
\(\frac{12}{42}\times\frac{84}{80}=\frac{1284}{4280}\)
\(\frac{12}{52}\times\frac{40}{39}=\frac{1240}{5239}\)
\(\frac{12}{57}\times\frac{80}{76}=\frac{1280}{5776}\)
\(\frac{12}{72}\times\frac{96}{90}=\frac{1296}{7290}\)
\(\frac{13}{39}\times\frac{78}{75}=\frac{1378}{3975}\)
\(\frac{13}{78}\times\frac{40}{39}=\frac{1340}{7839}\)
\(\frac{14}{34}\times\frac{70}{68}=\frac{1470}{3468}\)
\(\frac{14}{44}\times\frac{80}{77}=\frac{1480}{4477}\)
\(\frac{14}{63}\times\frac{75}{72}=\frac{1475}{6372}\)
\(\frac{14}{84}\times\frac{84}{80}=\frac{1484}{8480}\)
\(\frac{15}{65}\times\frac{78}{75}=\frac{1578}{6575}\)
\(\frac{15}{90}\times\frac{75}{72}=\frac{1575}{9072}\)
\(\frac{16}{26}\times\frac{65}{64}=\frac{1665}{2664}\)
\(\frac{16}{66}\times\frac{66}{64}=\frac{1666}{6664}\)
\(\frac{17}{51}\times\frac{51}{50}=\frac{1751}{5150}\)
\(\frac{18}{33}\times\frac{90}{88}=\frac{1890}{3388}\)
\(\frac{18}{58}\times\frac{90}{87}=\frac{1890}{5887}\)
\(\frac{18}{63}\times\frac{72}{70}=\frac{1872}{6370}\)
\(\frac{19}{24}\times\frac{96}{95}=\frac{1996}{2495}\)
\(\frac{19}{49}\times\frac{98}{95}=\frac{1998}{4995}\)
\(\frac{19}{99}\times\frac{99}{95}=\frac{1999}{9995}\)
\(\frac{21}{66}\times\frac{56}{55}=\frac{2156}{6655}\)
\(\frac{21}{77}\times\frac{77}{75}=\frac{2177}{7775}\)
\(\frac{22}{72}\times\frac{99}{96}=\frac{2299}{7296}\)
\(\frac{22}{77}\times\frac{56}{55}=\frac{2256}{7755}\)
\(\frac{24}{19}\times\frac{95}{96}=\frac{2495}{1996}\)
\(\frac{24}{49}\times\frac{98}{96}=\frac{2498}{4996}\)
\(\frac{24}{99}\times\frac{99}{96}=\frac{2499}{9996}\)
\(\frac{26}{16}\times\frac{64}{65}=\frac{2664}{1665}\)
\(\frac{26}{66}\times\frac{66}{65}=\frac{2666}{6665}\)
\(\frac{33}{18}\times\frac{88}{90}=\frac{3388}{1890}\)
\(\frac{33}{58}\times\frac{88}{87}=\frac{3388}{5887}\)
\(\frac{34}{14}\times\frac{68}{70}=\frac{3468}{1470}\)
\(\frac{36}{12}\times\frac{72}{75}=\frac{3672}{1275}\)
\(\frac{36}{81}\times\frac{81}{80}=\frac{3681}{8180}\)
\(\frac{39}{13}\times\frac{75}{78}=\frac{3975}{1378}\)
\(\frac{42}{12}\times\frac{80}{84}=\frac{4280}{1284}\)
\(\frac{44}{14}\times\frac{77}{80}=\frac{4477}{1480}\)
\(\frac{49}{19}\times\frac{95}{98}=\frac{4995}{1998}\)
\(\frac{49}{24}\times\frac{96}{98}=\frac{4996}{2498}\)
\(\frac{49}{99}\times\frac{99}{98}=\frac{4999}{9998}\)
\(\frac{51}{17}\times\frac{50}{51}=\frac{5150}{1751}\)
\(\frac{52}{12}\times\frac{39}{40}=\frac{5239}{1240}\)
\(\frac{57}{12}\times\frac{76}{80}=\frac{5776}{1280}\)
\(\frac{58}{18}\times\frac{87}{90}=\frac{5887}{1890}\)
\(\frac{58}{33}\times\frac{87}{88}=\frac{5887}{3388}\)
\(\frac{60}{10}\times\frac{48}{50}=\frac{6048}{1050}\)
\(\frac{60}{10}\times\frac{75}{80}=\frac{6075}{1080}\)
\(\frac{63}{14}\times\frac{72}{75}=\frac{6372}{1475}\)
\(\frac{63}{18}\times\frac{70}{72}=\frac{6370}{1872}\)
\(\frac{65}{15}\times\frac{75}{78}=\frac{6575}{1578}\)
\(\frac{66}{16}\times\frac{64}{66}=\frac{6664}{1666}\)
\(\frac{66}{21}\times\frac{55}{56}=\frac{6655}{2156}\)
\(\frac{66}{26}\times\frac{65}{66}=\frac{6665}{2666}\)
\(\frac{72}{12}\times\frac{90}{96}=\frac{7290}{1296}\)
\(\frac{72}{22}\times\frac{96}{99}=\frac{7296}{2299}\)
\(\frac{77}{21}\times\frac{75}{77}=\frac{7775}{2177}\)
\(\frac{77}{22}\times\frac{55}{56}=\frac{7755}{2256}\)
\(\frac{78}{13}\times\frac{39}{40}=\frac{7839}{1340}\)
\(\frac{81}{36}\times\frac{80}{81}=\frac{8180}{3681}\)
\(\frac{84}{14}\times\frac{80}{84}=\frac{8480}{1484}\)
\(\frac{90}{15}\times\frac{72}{75}=\frac{9072}{1575}\)
\(\frac{99}{19}\times\frac{95}{99}=\frac{9995}{1999}\)
\(\frac{99}{24}\times\frac{96}{99}=\frac{9996}{2499}\)
\(\frac{99}{49}\times\frac{98}{99}=\frac{9998}{4999}\)
Count:68

・3桁×3桁の場合
　全部載せるとさすがにページの表示が重いので、カウント数だけ。
結果は、1460個。
だいぶ時間かかった。

なぜ分数の割り算はひっくり返すのか？―数学ギライも図に描けばすぐ理解できる