Question

$$\frac{ 9 }{ 6 } 3- \frac{ 2 }{ 3 } 2$$

Answer

19/6

Solution


Simplify  \(\frac{9}{6}\)  to  \(\frac{3}{2}\).
\[\frac{3}{2}\times 3-\frac{2}{3}\times 2\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{3\times 3}{2}-\frac{2}{3}\times 2\]
Simplify  \(3\times 3\)  to  \(9\).
\[\frac{9}{2}-\frac{2}{3}\times 2\]
Use this rule: \(\frac{a}{b} \times c=\frac{ac}{b}\).
\[\frac{9}{2}-\frac{2\times 2}{3}\]
Simplify  \(2\times 2\)  to  \(4\).
\[\frac{9}{2}-\frac{4}{3}\]
Simplify.
\[\frac{19}{6}\]

Decimal Form: 3.166667