Lösung 1.2:4b

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Multiply top and bottom of the double fraction by the reciprocal of the denominator,
Multiply top and bottom of the double fraction by the reciprocal of the denominator,
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{{Displayed math||<math>\frac{\displaystyle\,\frac{2}{7}\,}{\displaystyle\,\frac{3}{8}\,} = \frac{\displaystyle\,\frac{2}{7}\cdot \frac{8}{3}\,}{\displaystyle\,\frac{\rlap{/}3}{\rlap{/}8}\cdot \frac{\rlap{/}8}{\rlap{/}3}\,}=\frac{2}{7}\cdot \frac{8}{3}\,</math>.}}
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{{Abgesetzte Formel||<math>\frac{\displaystyle\,\frac{2}{7}\,}{\displaystyle\,\frac{3}{8}\,} = \frac{\displaystyle\,\frac{2}{7}\cdot \frac{8}{3}\,}{\displaystyle\,\frac{\rlap{/}3}{\rlap{/}8}\cdot \frac{\rlap{/}8}{\rlap{/}3}\,}=\frac{2}{7}\cdot \frac{8}{3}\,</math>.}}
The numerator and denominator on the right-hand side do not have a common factor, so the answer is
The numerator and denominator on the right-hand side do not have a common factor, so the answer is
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{{Displayed math||<math>\frac{2}{7}\cdot \frac{8}{3}=\frac{2\cdot 8}{7\cdot 3}=\frac{16}{21}\,</math>.}}
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{{Abgesetzte Formel||<math>\frac{2}{7}\cdot \frac{8}{3}=\frac{2\cdot 8}{7\cdot 3}=\frac{16}{21}\,</math>.}}
Note: It is also possible to learn a quick formula for double fractions which says that when the expression is rewritten with just one fraction sign, the denominators in the partial fractions change place,
Note: It is also possible to learn a quick formula for double fractions which says that when the expression is rewritten with just one fraction sign, the denominators in the partial fractions change place,
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{{Displayed math||<math>\frac{\displaystyle\,\frac{2}{7}\,}{\displaystyle\,\frac{3}{8}\,}=\frac{2\cdot 8}{3\cdot 7}\,</math>.}}
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{{Abgesetzte Formel||<math>\frac{\displaystyle\,\frac{2}{7}\,}{\displaystyle\,\frac{3}{8}\,}=\frac{2\cdot 8}{3\cdot 7}\,</math>.}}

Version vom 08:15, 22. Okt. 2008

Multiply top and bottom of the double fraction by the reciprocal of the denominator,

\displaystyle \frac{\displaystyle\,\frac{2}{7}\,}{\displaystyle\,\frac{3}{8}\,} = \frac{\displaystyle\,\frac{2}{7}\cdot \frac{8}{3}\,}{\displaystyle\,\frac{\rlap{/}3}{\rlap{/}8}\cdot \frac{\rlap{/}8}{\rlap{/}3}\,}=\frac{2}{7}\cdot \frac{8}{3}\,.

The numerator and denominator on the right-hand side do not have a common factor, so the answer is

\displaystyle \frac{2}{7}\cdot \frac{8}{3}=\frac{2\cdot 8}{7\cdot 3}=\frac{16}{21}\,.

Note: It is also possible to learn a quick formula for double fractions which says that when the expression is rewritten with just one fraction sign, the denominators in the partial fractions change place,

\displaystyle \frac{\displaystyle\,\frac{2}{7}\,}{\displaystyle\,\frac{3}{8}\,}=\frac{2\cdot 8}{3\cdot 7}\,.
Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_1.2:4b“