Question

10．在$\frac{3}{5}$、$\frac{15}{35}$、$\frac{4}{4}$、$\frac{9}{17}$、$\frac{5}{15}$、$\frac{8}{5}$、$\frac{13}{31}$、$\frac{25}{36}$這些分?jǐn)?shù)中，最簡(jiǎn)分?jǐn)?shù)有$\frac{3}{5}$、$\frac{9}{17}$、$\frac{8}{5}$、$\frac{13}{31}$、$\frac{25}{36}$．

Answer 1

分析 分子、分母只有公因數(shù)1的分?jǐn)?shù)叫做最簡(jiǎn)分?jǐn)?shù)或者說(shuō)分子和分母是互質(zhì)數(shù)的分?jǐn)?shù)，叫做最簡(jiǎn)分?jǐn)?shù)，又稱(chēng)既約分?jǐn)?shù)，由此找出即可．

解答 解：分子分母不互質(zhì)的分?jǐn)?shù)：$\frac{15}{35}$、$\frac{4}{4}$、$\frac{5}{15}$，
最簡(jiǎn)分?jǐn)?shù)有：$\frac{3}{5}$、$\frac{9}{17}$、$\frac{8}{5}$、$\frac{13}{31}$、$\frac{25}{36}$，
故答案為：$\frac{3}{5}$、$\frac{9}{17}$、$\frac{8}{5}$、$\frac{13}{31}$、$\frac{25}{36}$．

點(diǎn)評(píng) 注意用分子分母的互質(zhì)關(guān)系來(lái)判定最簡(jiǎn)分?jǐn)?shù)．