Ta có:
\(\frac{4}{3}+\frac{3}{7}:\frac{5}{14}\)
\(=\frac{4}{3}+\left(\frac{3}{7}:\frac{5}{14}\right)\)
\(=\frac{4}{3}+\left(\frac{3}{7}×\frac{14}{5}\right)\)
\(=\frac{4}{3}+\left(\frac{3×14}{7×5}\right)\)
\(=\frac{4}{3}+\left(\frac{3×7×2}{7×5}\right)\)
\(=\frac{4}{3}+\left(\frac{3×2}{5}\right)\)
\(=\frac{4}{3}+\frac{6}{5}\)
\(=\frac{4×5}{3×5}+\frac{6×3}{5×3}\)
\(=\frac{20}{15}+\frac{18}{15}\)
\(=\frac{20+18}{15}\)
\(=\frac{38}{15}\)
\(\frac{4}{3}+\frac{3}{7}\)\(:\frac{5}{14}\)
\(=\frac{4}{3}+\frac{3}{7}\times\frac{14}{5}\)
\(=\frac{4}{3}+\frac{6}{9}\)
\(=\frac{20}{15}+\frac{18}{15}\)
\(=\frac{38}{15}\)
