Question

$$( \frac{ 2 }{ 3 } - \frac{ 3 }{ 2 } )- \frac{ 3 }{ 2 } \frac{ \times }{ } \frac{ 1 }{ 2 } =$$

Answer

-5/6-(3*)/4

Solution


Simplify  \(\frac{2}{3}-\frac{3}{2}\)  to  \(-\frac{5}{6}\).
\[-\frac{5}{6}-\frac{3}{2}\times \frac{\frac{}{\times 1}}{2}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{5}{6}-\frac{3\times 1}{2\times 2}\]
Simplify  \(3\times 1\)  to  \(3\).
\[-\frac{5}{6}-\frac{3}{2\times 2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[-\frac{5}{6}-\frac{3}{{2}^{2}}\]
Simplify  \({2}^{2}\)  to  \(4\).
\[-\frac{5}{6}-\frac{3}{4}\]
Simplify  \(\frac{3}{4}\)  to  \(\frac{3}{4}\).
\[-\frac{5}{6}-\frac{3}{4}\]