Question

$$\frac{ \frac{ 1 }{ 3 } }{ - \frac{ 7 }{ 6 } }$$

Answer

-2/7

Solution


Move the negative sign to the left.
\[-\frac{\frac{1}{3}}{\frac{7}{6}}\]
Invert and multiply.
\[-\frac{1}{3}\times \frac{6}{7}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{1\times 6}{3\times 7}\]
Simplify  \(1\times 6\)  to  \(6\).
\[-\frac{6}{3\times 7}\]
Simplify  \(3\times 7\)  to  \(21\).
\[-\frac{6}{21}\]
Simplify  \(\frac{6}{21}\)  to  \(\frac{2}{7}\).
\[-\frac{2}{7}\]

Decimal Form: -0.285714