Question

$$\left. \begin{array} { l } { ( \frac { - 3 } { 2 } \times \frac { 4 } { 5 } ) + ( \frac { 9 } { 5 } \times \frac { - 10 } { 3 } ) - ( \frac { 1 } { 2 } \times \frac { 3 } { 4 } ) } \\ { 4 \times \frac { 5 } { x } \times \frac { - 18 } { x } \times \frac { 7 } { - } \frac { 3 } { 4 \right.$$

Answer

-963/40-1873*e

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{3\times 4}{2\times 5}+\frac{9}{5}\times \frac{-10}{3}-(\frac{1}{2}\times \frac{3}{4})\times 45-1873e\]
Simplify  \(3\times 4\)  to  \(12\).
\[-\frac{12}{2\times 5}+\frac{9}{5}\times \frac{-10}{3}-(\frac{1}{2}\times \frac{3}{4})\times 45-1873e\]
Simplify  \(2\times 5\)  to  \(10\).
\[-\frac{12}{10}+\frac{9}{5}\times \frac{-10}{3}-(\frac{1}{2}\times \frac{3}{4})\times 45-1873e\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{12}{10}+\frac{9}{5}\times \frac{-10}{3}-\frac{1\times 3}{2\times 4}\times 45-1873e\]
Simplify  \(1\times 3\)  to  \(3\).
\[-\frac{12}{10}+\frac{9}{5}\times \frac{-10}{3}-\frac{3}{2\times 4}\times 45-1873e\]
Simplify  \(2\times 4\)  to  \(8\).
\[-\frac{12}{10}+\frac{9}{5}\times \frac{-10}{3}-\frac{3}{8}\times 45-1873e\]
Simplify  \(\frac{12}{10}\)  to  \(\frac{6}{5}\).
\[-\frac{6}{5}+\frac{9}{5}\times \frac{-10}{3}-\frac{3}{8}\times 45-1873e\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[-\frac{6}{5}+\frac{9\times -10}{5\times 3}-\frac{3}{8}\times 45-1873e\]
Simplify  \(9\times -10\)  to  \(-90\).
\[-\frac{6}{5}+\frac{-90}{5\times 3}-\frac{3}{8}\times 45-1873e\]
Simplify  \(5\times 3\)  to  \(15\).
\[-\frac{6}{5}+\frac{-90}{15}-\frac{3}{8}\times 45-1873e\]
Move the negative sign to the left.
\[-\frac{6}{5}-\frac{90}{15}-\frac{3}{8}\times 45-1873e\]
Simplify  \(\frac{90}{15}\)  to  \(6\).
\[-\frac{6}{5}-6-\frac{3}{8}\times 45-1873e\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[-\frac{6}{5}-6-\frac{3\times 45}{8}-1873e\]
Simplify  \(3\times 45\)  to  \(135\).
\[-\frac{6}{5}-6-\frac{135}{8}-1873e\]
Simplify.
\[\frac{-963}{40}-1873e\]
Move the negative sign to the left.
\[-\frac{963}{40}-1873e\]

Decimal Form: -5115.416865