Question

$$\frac{ x }{ 3 } + \frac{ 4 }{ 5 } = \frac{ 5 }{ 2 }$$

Answer

x=51/10

Solution


Subtract \(\frac{4}{5}\) from both sides.
\[\frac{x}{3}=\frac{5}{2}-\frac{4}{5}\]
Simplify  \(\frac{5}{2}-\frac{4}{5}\)  to  \(\frac{17}{10}\).
\[\frac{x}{3}=\frac{17}{10}\]
Multiply both sides by \(3\).
\[x=\frac{17}{10}\times 3\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[x=\frac{17\times 3}{10}\]
Simplify  \(17\times 3\)  to  \(51\).
\[x=\frac{51}{10}\]

Decimal Form: 5.1