Kết quả phép tính $\frac{{5x + 2}}{{3x{y^2}}}:\frac{{10x + 4}}{{{x^2}y}}$ là

Ta có: $\frac{{5x + 2}}{{3x{y^2}}}:\frac{{10x + 4}}{{{x^2}y}}$$= \frac{{5x + 2}}{{3x{y^2}}}.\frac{{{x^2}y}}{{10x + 4}}$$= \frac{{\left( {5x + 2} \right).{x^2}y}}{{3x{y^2}.\left( {10x + 4} \right)}}$$= \frac{{\left( {5x + 2} \right){x^2}y}}{{3x{y^2}.2\left( {5x + 2} \right)}}$$= \frac{x}{{6y}}$.