Cho \[A = \frac{{\left( {3\frac{2} + \frac{1}{5}} \right):2\frac{1}{2}}}{{\left( {5\frac{3}{7} - 2\frac{1}{4}} \right):4\frac}}\] và \[B = \frac{{1,2:\left( {1\frac{1}{5}.1\frac{1}{4}} \right)}}{{0,32 + \frac{2}}}\] . Chọn đáp án đúng.

Ta có \[A = \frac{{\left( {3\frac{2} + \frac{1}{5}} \right):2\frac{1}{2}}}{{\left( {5\frac{3}{7} - 2\frac{1}{4}} \right):4\frac}} = \frac{{\left( {\frac + \frac{3}} \right):\frac{5}{2}}}{{\left( {\frac{7} - \frac{9}{4}} \right):\frac}} = \frac{{\frac.\frac{2}{5}}}{{\left( {\frac - \frac} \right).\frac}} = \frac{{\frac{4}{3}}}{{\frac.\frac}} = \frac{{\frac{4}{3}}}{{\frac{2}{3}}} = 2\]

Và \[B = \frac{{1,2:\left( {1\frac{1}{5}.1\frac{1}{4}} \right)}}{{0,32 + \frac{2}}} = \frac{{\frac{6}{5}:\left( {\frac{6}{5}.\frac{5}{4}} \right)}}{{\frac{8} + \frac{2}}} = \frac{{\frac{6}{5}:\frac{3}{2}}}{{\frac}} = \frac{{\frac{4}{5}}}{{\frac{2}{5}}} = 2\]

Vậy A = B.

Đáp án cần chọn là: D