So sánh các số hữu tỉ sau
a) \(\frac{4}{9}\) và \(\frac{13}{18}\)
b) \(\frac{-15}{7}\) và \(\frac{-6}{5}\)
c) \(\frac{278}{37}\) và \(\frac{287}{46}\)
d) \(\frac{-157}{623}\) và \(\frac{-47}{213}\)
a)
\(\begin{array}{l}
\frac{4}{9} < 1\\
\Rightarrow \frac{4}{9} < \frac{{4 + 9}}{{9 + 9}} = \frac{{13}}{{18}}
\end{array}\)
\(\frac{4}{9}\) < \(\frac{13}{18}\)
b)
\(\begin{array}{l}
\frac{{ - 15}}{7} < 1\\
\Rightarrow \frac{{ - 15}}{7} < \frac{{ - 15 + 3}}{{7 + 3}}\\
= \frac{{ - 12}}{{10}} = \frac{{ - 6}}{5}
\end{array}\)
\(\frac{-15}{7}\) < \(\frac{-6}{5}\)
c)
\(\begin{array}{l}
\frac{{278}}{{37}} > 1\\
\Rightarrow \frac{{278}}{{37}} > \frac{{278 + 9}}{{37 + 9}} = \frac{{278}}{{46}}
\end{array}\)
\(\frac{278}{37}\) > \(\frac{287}{46}\)
d)
\(\begin{array}{l}
\frac{{ - 157}}{{623}} < 1\\
\Rightarrow \frac{{ - 157}}{{623}} < \frac{{ - 157 + 16}}{{623 + 16}}\\
= \frac{{ - 141}}{{639}} = \frac{{ - 47}}{{213}}
\end{array}\)
\(\frac{-157}{623}\) < \(\frac{-47}{213}\)
-- Mod Toán 7
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