分数の掛け算,割り算混合問題/小学校6年生相当の算数/一般常識クイズ一問一答問題まとめ
問題
①\( \begin{array}{l} \dfrac{2}{5}\times \dfrac{7}{3}\div \dfrac{4}{5} \end{array} \)
②\( \begin{array}{l} \dfrac{5}{6}\div \dfrac{7}{12}\times \dfrac{7}{4} \end{array} \)
③\( \begin{array}{l} \dfrac{2}{3}\div \dfrac{5}{12}\div \dfrac{4}{3} \end{array} \)
④\( \begin{array}{l} \dfrac{2}{7}\div \dfrac{4}{5}\times \dfrac{21}{5} \end{array} \)
解答
①\( \begin{array}{l} \dfrac{2}{5}\times \dfrac{7}{3}\div \dfrac{4}{5}=\dfrac{2}{5}\times \dfrac{7}{3}\times \dfrac{5}{4}=\dfrac{7}{6}=1\dfrac{1}{6} \end{array} \)
②\( \begin{array}{l} \dfrac{5}{6}\div \dfrac{7}{12}\times \dfrac{7}{4}=\dfrac{5}{6}\times \dfrac{12}{7}\times \dfrac{7}{4}=\dfrac{5}{2}=2\dfrac{1}{2} \end{array} \)
③\( \begin{array}{l} \dfrac{2}{3}\div \dfrac{5}{12}\div \dfrac{4}{3}=\dfrac{2\times 12\times 3}{3\times 5\times 4}=\dfrac{6}{5}=1\dfrac{1}{5} \end{array} \)
④\( \begin{array}{l} \dfrac{2}{7}\div \dfrac{4}{5}\times \dfrac{21}{5}=\dfrac{2}{7}\times \dfrac{5}{4}\times \dfrac{21}{5}=\dfrac{3}{2}=1\dfrac{1}{2} \end{array} \)