Question

$$4x+ \frac{ 5 }{ 6 } = \frac{ 7 }{ 2 }$$

Answer

x=2/3

Solution


Subtract \(\frac{5}{6}\) from both sides.
\[4x=\frac{7}{2}-\frac{5}{6}\]
Simplify  \(\frac{7}{2}-\frac{5}{6}\)  to  \(\frac{8}{3}\).
\[4x=\frac{8}{3}\]
Divide both sides by \(4\).
\[x=\frac{\frac{8}{3}}{4}\]
Simplify  \(\frac{\frac{8}{3}}{4}\)  to  \(\frac{8}{3\times 4}\).
\[x=\frac{8}{3\times 4}\]
Simplify  \(3\times 4\)  to  \(12\).
\[x=\frac{8}{12}\]
Simplify  \(\frac{8}{12}\)  to  \(\frac{2}{3}\).
\[x=\frac{2}{3}\]

Decimal Form: 0.666667