Question

$$\frac{ -6 }{ 7 } / \frac{ 6 }{ 7 } \times \frac{ 2 }{ 5 } +(- \frac{ 3 }{ 4 } )$$

Answer

-743/980

Solution


Move the negative sign to the left.
\[-\frac{6}{7\times 6\times 7}\times \frac{2}{5}-\frac{3}{4}\]
Simplify  \(7\times 6\)  to  \(42\).
\[-\frac{6}{42\times 7}\times \frac{2}{5}-\frac{3}{4}\]
Simplify  \(42\times 7\)  to  \(294\).
\[-\frac{6}{294}\times \frac{2}{5}-\frac{3}{4}\]
Simplify  \(\frac{6}{294}\)  to  \(\frac{1}{49}\).
\[-\frac{1}{49}\times \frac{2}{5}-\frac{3}{4}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{1\times 2}{49\times 5}-\frac{3}{4}\]
Simplify  \(1\times 2\)  to  \(2\).
\[-\frac{2}{49\times 5}-\frac{3}{4}\]
Simplify  \(49\times 5\)  to  \(245\).
\[-\frac{2}{245}-\frac{3}{4}\]
Simplify.
\[-\frac{743}{980}\]

Decimal Form: -0.758163