vereinfachen 1/(4pi0.02)(1/(0.75)-1/(0.85))+1/5

Lösung

vereinfachen

\frac{1}{4 \cdot π \cdot 0.02} (\frac{1}{0.75} - \frac{1}{0.85}) + \frac{1}{5}

0.82413 \dots

Schritte zur Lösung

\frac{1}{4 π 0.02} (\frac{1}{0.75} - \frac{1}{0.85}) + \frac{1}{5}

\frac{1}{4 π 0.02} (\frac{1}{0.75} - \frac{1}{0.85}) = 0.15686 \dots \cdot \frac{1}{0.08 π}

= 0.15686 \dots \cdot \frac{1}{0.08 π} + \frac{1}{5}

\frac{1}{0.08 π} \cdot 0.15686 \dots = 0.62413 \dots

= 0.62413 \dots + \frac{1}{5}

Wandle das Element in Dezimalform um

\frac{1}{5} = 0.2

= 0.62413 \dots + 0.2

Addiere die Zahlen:

0.62413 \dots + 0.2 = 0.82413 \dots

= 0.82413 \dots

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