vereinfachen 6-(3/6+2)+[0.444(1/4-4)]+5/9-0.5333

Lösung

vereinfachen

6 - (\frac{3}{6} + 2) + [0.444 (\frac{1}{4} - 4)] + \frac{5}{9} - 0.5333

\frac{167153}{90000}

Dezimale

1.85725 \dots

Schritte zur Lösung

6 - (\frac{3}{6} + 2) + (0.444 (\frac{1}{4} - 4)) + \frac{5}{9} - 0.5333

0.5333 = \frac{5333}{10000}

= 6 - (\frac{3}{6} + 2) + 0.444 (\frac{1}{4} - 4) + \frac{5}{9} - \frac{5333}{10000}

0.444 = \frac{111}{250}

= 6 - (\frac{3}{6} + 2) + \frac{111}{250} (\frac{1}{4} - 4) + \frac{5}{9} - \frac{5333}{10000}

\frac{3}{6} + 2 = \frac{5}{2}

\frac{111}{250} (\frac{1}{4} - 4) = - \frac{333}{200}

= 6 - \frac{5}{2} - \frac{333}{200} + \frac{5}{9} - \frac{5333}{10000}

6 - \frac{5}{2} - \frac{333}{200} + \frac{5}{9} - \frac{5333}{10000} = \frac{167153}{90000}

= \frac{167153}{90000}

e x p an d \frac{( 3 s + 1 ) e ^{- 2 s}}{( 4 s + 1 ) ( 10 s + 1 ) ( 2 s )}

e x p an d 3 (ln (x + 1) + \frac{x}{x + 1}) (x + 1)^{3 x}

e x p an d (3 x + 2 y + 1)^{2}

e x p an d (10) (cos (t) + i sin (t))

e x p an d (cos^{4} (t) - \frac{2}{3} cos^{6} (t)) cos (2 t)