Tínha) (frac{3}{2} + frac{4}{3})b) ({left( {frac{3}{2} - frac{1}{3}} ight)^2} cdot frac{5}{6})

* Hướng dẫn giải

a) \(\frac{3}{2} + \frac{4}{3} = \frac{{3.3}}{{2.3}} + \frac{{4.2}}{{3.2}} = \frac{9}{6} + \frac{8}{6}\)

\( = \frac{{9 + 8}}{6} = \frac{{17}}{6}\)

b) \({\left( {\frac{3}{2} - \frac{1}{3}} \right)^2} \cdot \frac{5}{6} = {\left( {\frac{{3.3}}{{2.3}} - \frac{{1.2}}{{3.2}}} \right)^2} \cdot \frac{5}{6} = {\left( {\frac{9}{6} - \frac{2}{6}} \right)^2} \cdot \frac{5}{6}\)

\( = {\left( {\frac{{9 - 2}}{6}} \right)^2} \cdot \frac{5}{6} = {\left( {\frac{7}{6}} \right)^2} \cdot \frac{5}{6} = \frac{{49}}{{36}} \cdot \frac{5}{6} = \frac{{245}}{{216}}\)