Question

$$( \frac { 7 } { 2 } x - \frac { 3 } { 5 } ) - \frac { 5 } { 4 } - \frac { 3 } { 2 } \times \frac { 13 } { 5 }$$

Answer

(DATE-21)/10-43/20

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{DATE(7\times -3)}{2\times 5}-\frac{5}{4}-\frac{3}{2}\times \frac{3}{5}\]
Simplify  \(7\times -3\)  to  \(-21\).
\[\frac{DATE(-21)}{2\times 5}-\frac{5}{4}-\frac{3}{2}\times \frac{3}{5}\]
Simplify  \(2\times 5\)  to  \(10\).
\[\frac{DATE(-21)}{10}-\frac{5}{4}-\frac{3}{2}\times \frac{3}{5}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{DATE(-21)}{10}-\frac{5}{4}-\frac{3\times 3}{2\times 5}\]
Simplify  \(3\times 3\)  to  \(9\).
\[\frac{DATE(-21)}{10}-\frac{5}{4}-\frac{9}{2\times 5}\]
Simplify  \(2\times 5\)  to  \(10\).
\[\frac{DATE(-21)}{10}-\frac{5}{4}-\frac{9}{10}\]
Collect like terms.
\[\frac{DATE-21}{10}+(-\frac{5}{4}-\frac{9}{10})\]
Simplify.
\[\frac{DATE-21}{10}-\frac{43}{20}\]

Decimal Form: -4.25