Question

$$\frac { - a } { 11 } = \frac { 18 } { 55 }$$

Answer

a=-18/5

Solution


Move the negative sign to the left.
\[-\frac{a}{11}=\frac{18}{55}\]
Multiply both sides by \(11\).
\[-a=\frac{18}{55}\times 11\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[-a=\frac{18\times 11}{55}\]
Simplify  \(18\times 11\)  to  \(198\).
\[-a=\frac{198}{55}\]
Simplify  \(\frac{198}{55}\)  to  \(\frac{18}{5}\).
\[-a=\frac{18}{5}\]
Multiply both sides by \(-1\).
\[a=-\frac{18}{5}\]

Decimal Form: -3.6