Tìm x biết [ left( {x + frac{1}{4} - frac{1}{3}} right): left( {2 + frac{1}{6} - frac{1}{4}} right) = frac{7}{{46}} ]

* Hướng dẫn giải

\[\left( {x + \frac{1}{4} - \frac{1}{3}} \right):\left( {2 + \frac{1}{6} - \frac{1}{4}} \right) = \frac{7}{{46}}\]

\[\left( {x + \frac{1}{4} - \frac{1}{3}} \right):\frac{{23}}{{12}} = \frac{7}{{46}}\]

\[x + \frac{1}{4} - \frac{1}{3} = \frac{7}{{46}}.\frac{{23}}{{12}}\]

\[x + \frac{1}{4} - \frac{1}{3} = \frac{7}{{24}}\]

\[x = \frac{7}{{24}} - \frac{1}{4} + \frac{1}{3}\]

\[x = \frac{3}{8}\]

Đáp án cần chọn là: D