Question

$$\left. \begin{array} { l } { \frac { 2 } { 5 } \times \frac { - 3 } { 7 } - \frac { 1 } { 14 } - \frac { 3 } { 7 } \times \frac { 3 } { 6 } } \\ { 2 \times \frac { - 3 } { 5 } = \frac { - 6 } { 7 } } \end{array} \right.$$

Answer

-(6*WORKSHEET)/35-65/7

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{WORKSHEET\times 2\times -3}{5\times 7}-\frac{1}{14}-\frac{3}{7}\times \frac{3}{6}-6-3\]
Simplify  \(WORKSHEET\times 2\times -3\)  to  \(-6WORKSHEET\).
\[\frac{-6WORKSHEET}{5\times 7}-\frac{1}{14}-\frac{3}{7}\times \frac{3}{6}-6-3\]
Simplify  \(5\times 7\)  to  \(35\).
\[\frac{-6WORKSHEET}{35}-\frac{1}{14}-\frac{3}{7}\times \frac{3}{6}-6-3\]
Move the negative sign to the left.
\[-\frac{6WORKSHEET}{35}-\frac{1}{14}-\frac{3}{7}\times \frac{3}{6}-6-3\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{6WORKSHEET}{35}-\frac{1}{14}-\frac{3\times 3}{7\times 6}-6-3\]
Simplify  \(3\times 3\)  to  \(9\).
\[-\frac{6WORKSHEET}{35}-\frac{1}{14}-\frac{9}{7\times 6}-6-3\]
Simplify  \(7\times 6\)  to  \(42\).
\[-\frac{6WORKSHEET}{35}-\frac{1}{14}-\frac{9}{42}-6-3\]
Simplify  \(\frac{9}{42}\)  to  \(\frac{3}{14}\).
\[-\frac{6WORKSHEET}{35}-\frac{1}{14}-\frac{3}{14}-6-3\]
Collect like terms.
\[-\frac{6WORKSHEET}{35}+(-\frac{1}{14}-\frac{3}{14}-6-3)\]
Simplify.
\[-\frac{6WORKSHEET}{35}-\frac{130}{14}\]
Simplify  \(\frac{130}{14}\)  to  \(\frac{65}{7}\).
\[-\frac{6WORKSHEET}{35}-\frac{65}{7}\]

Decimal Form: -9.285714