vereinfachen (2(3/4))/(1-(3/4)^2)

Lösung

vereinfachen

\frac{2 ( \frac{3}{4} )}{1 - ( \frac{3}{4} ) ^{2}}

\frac{24}{7}

Dezimale

3.42857 \dots

Schritte zur Lösung

\frac{2 ( \frac{3}{4} )}{1 - ( \frac{3}{4} ) ^{2}}

Apply rule:

(a) = a

(\frac{3}{4}) = \frac{3}{4}

= \frac{2 \cdot \frac{3}{4}}{1 - ( \frac{3}{4} ) ^{2}}

2 \cdot \frac{3}{4} = \frac{3}{2}

= \frac{\frac{3}{2}}{1 - ( \frac{3}{4} ) ^{2}}

Vereinfache

1 - (\frac{3}{4})^{2} : \frac{7}{16}

= \frac{\frac{3}{2}}{\frac{7}{16}}

Wende Bruchregel an:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

= \frac{3 \cdot 16}{2 \cdot 7}

Streiche

\frac{3 \cdot 16}{2 \cdot 7} : \frac{24}{7}

= \frac{24}{7}

m^{2} + (m - 2)^{2} = 340

5 x + 10 > 14 x - 8

f a c t or x^{4} - 8 x

f a c t or 4 x^{2} + 5 x - 6

3 x + 15 = 3 (x + 5)