Aus Online Mathematik Brückenkurs 1

Version vom 09:10, 22. Sep. 2008 (bearbeiten) Ian (Diskussion | Beiträge) ← Zum vorherigen Versionsunterschied		Version vom 09:14, 22. Sep. 2008 (bearbeiten) (rückgängig) Ian (Diskussion | Beiträge) Zum nächsten Versionsunterschied →
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		+	2, 3/5, 5/3 and 7/3 .
		+
	It is easier to see the mutual order of the numbers if we write them as decimals.		It is easier to see the mutual order of the numbers if we write them as decimals.
Zeile 13:		Zeile 15:
	& \\		& \\
	& \frac{7}{3}=\frac{6+1}{3}=2+\frac{1}{3}=2.333... \\		& \frac{7}{3}=\frac{6+1}{3}=2+\frac{1}{3}=2.333... \\
		+	\end{align}</math>
		+
		+	and then we see that.
		+
		+
		+	<math>\begin{align}
		+	& \frac{3}{5}<\frac{5}{3}<2<\frac{7}{3} \\
		+	& \\
	\end{align}</math>		\end{align}</math>

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Version vom 09:14, 22. Sep. 2008

2, 3/5, 5/3 and 7/3 .

It is easier to see the mutual order of the numbers if we write them as decimals.

Because we know that \displaystyle {1}/{5}\;=0.2 and \displaystyle {1}/{3}\;=0.333..., we obtain

\displaystyle \begin{align} & \frac{3}{5}=3\centerdot \frac{3}{5}=3.02=0.6 \\ & \\ & \frac{5}{3}=\frac{3+2}{3}=1+\frac{2}{3}=1.666... \\ & \\ & \frac{7}{3}=\frac{6+1}{3}=2+\frac{1}{3}=2.333... \\ \end{align}

and then we see that.

\displaystyle \begin{align} & \frac{3}{5}<\frac{5}{3}<2<\frac{7}{3} \\ & \\ \end{align}