Question

$\frac{5}{6} = \frac{x}{30}$
$\frac{x}{5} = \frac{9}{10}$

Explanation:

Step1: Solve \(\frac{5}{6}=\frac{x}{30}\)

Cross - multiply: \(6x = 5\times30\)
\(6x=150\)
Divide both sides by 6: \(x=\frac{150}{6} = 25\)

Step2: Solve \(\frac{x}{5}=\frac{9}{10}\)

Cross - multiply: \(10x=5\times9\)
\(10x = 45\)
Divide both sides by 10: \(x=\frac{45}{10}=4.5\) or \(\frac{9}{2}\)

Answer:

For \(\frac{5}{6}=\frac{x}{30}\), \(x = 25\); for \(\frac{x}{5}=\frac{9}{10}\), \(x=\frac{9}{2}\) (or \(4.5\))