Question

$$\frac{ -2 }{ 4 } \times \frac{ 6 }{ -9 }$$

Answer

1/3

Solution


Move the negative sign to the left.
\[-\frac{2}{4}\times \frac{6}{-9}\]
Simplify  \(\frac{2}{4}\)  to  \(\frac{1}{2}\).
\[-\frac{1}{2}\times \frac{6}{-9}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{1\times 6}{2\times -9}\]
Simplify  \(1\times 6\)  to  \(6\).
\[-\frac{6}{2\times -9}\]
Simplify  \(2\times -9\)  to  \(-18\).
\[-\frac{6}{-18}\]
Move the negative sign to the left.
\[-(-\frac{6}{18})\]
Simplify  \(\frac{6}{18}\)  to  \(\frac{1}{3}\).
\[-(-\frac{1}{3})\]
Remove parentheses.
\[\frac{1}{3}\]

Decimal Form: 0.333333