So sánh các phân số:
a) \(\frac{5}{{24}};\frac{{5 + 10}}{{24}};\frac{5}{8}\)
b) \(\frac{4}{9};\frac{{6 + 9}}{{6.9}};\frac{2}{3}\)
a) Ta có:
\(\frac{{5 + 10}}{{24}} = \frac{{15}}{{24}} = \frac{5}{8}\)
Mà \(\frac{5}{{24}} < \frac{{5 + 10}}{{24}}\)
Vậy \(\frac{5}{{24}} < \frac{{5 + 10}}{{24}} = \frac{5}{8}\)
b) Ta có: \(\frac{{6 + 9}}{{6.9}} = \frac{{15}}{{54}} = \frac{5}{{18}}\)
\(\begin{array}{l}
\frac{4}{9} = \frac{{4.2}}{{9.2}} = \frac{8}{{18}}\\
\frac{2}{3} = \frac{{2.6}}{{3.6}} = \frac{{12}}{{18}}
\end{array}\)
Vì \(\frac{5}{{18}} < \frac{8}{{18}} < \frac{{12}}{{18}}\) nên \(\frac{{6 + 9}}{{6.9}} < \frac{4}{9} < \frac{2}{3}\)
-- Mod Toán 6
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