Điền dấu >, < , =

a) \(\frac{5}{4} - \frac{1}{2}\) = \(\frac{1}{4} + \frac{1}{2}\)

Giải thích

\(\frac{5}{4} - \frac{1}{2} = \frac{5}{4} - \frac{2}{4} = \frac{3}{4}\)

\(\frac{1}{4} + \frac{1}{2} = \frac{1}{4} + \frac{2}{4} = \frac{3}{4}\)

Vì \(\frac{3}{4} = \frac{3}{4}\) nên \(\frac{5}{4} - \frac{1}{2}\) = \(\frac{1}{4} + \frac{1}{2}\)

b) \(\frac{2}{3}\) = \(\frac{5}{6} - \frac{1}{6}\)

Giải thích

\(\frac{5}{6} - \frac{1}{6} = \frac{4}{6} = \frac{2}{3}\)

Vì \(\frac{2}{3}\) = \(\frac{2}{3}\) nên \(\frac{2}{3}\) = \(\frac{5}{6} - \frac{1}{6}\)

c) \(\frac{9}{7} + \frac{1}{4}\) < \(\frac{5}{8}\)

Giải thích

\(\frac{9}{7} + \frac{1}{4} = \frac{{36}}{{28}} + \frac{7}{{28}} = \frac{{43}}{{28}} = \frac{{86}}{{56}}\)

\(\frac{5}{8} = \frac{{35}}{{56}}\)

Vì \(\frac{{35}}{{56}} < \frac{{86}}{{56}}\) nên \(\frac{9}{7} + \frac{1}{4}\) < \(\frac{5}{8}\)

d) \(\frac{7}{5}\) > \(\frac{4}{5} + \frac{1}{5}\)

Giải thích

\(\frac{4}{5} + \frac{1}{5} = \frac{5}{5}\)

Vì \(\frac{7}{5} > \frac{5}{5}\) nên \(\frac{7}{5}\) > \(\frac{4}{5} + \frac{1}{5}\)