Question

$$- \frac{ 2 }{ 3 } \times ( \frac{ 3 }{ 4 } - \frac{ 6 }{ 7 } )$$

Answer

1/14

Solution


Simplify  \(\frac{3}{4}-\frac{6}{7}\)  to  \(-\frac{3}{28}\).
\[-\frac{2}{3}\times \frac{-3}{28}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{2\times -3}{3\times 28}\]
Simplify  \(2\times -3\)  to  \(-6\).
\[-\frac{-6}{3\times 28}\]
Simplify  \(3\times 28\)  to  \(84\).
\[-\frac{-6}{84}\]
Move the negative sign to the left.
\[-(-\frac{6}{84})\]
Simplify  \(\frac{6}{84}\)  to  \(\frac{1}{14}\).
\[-(-\frac{1}{14})\]
Remove parentheses.
\[\frac{1}{14}\]

Decimal Form: 0.071429