Question

$$45\div3^{2}\times(2+1\div3)-9+4$$

Answer

20/3

Solution


Simplify  \(2+\frac{1}{3}\)  to  \(\frac{7}{3}\).
\[\frac{45}{{3}^{2}}\times \frac{7}{3}-9+4\]
Simplify  \({3}^{2}\)  to  \(9\).
\[\frac{45}{9}\times \frac{7}{3}-9+4\]
Simplify  \(\frac{45}{9}\)  to  \(5\).
\[5\times \frac{7}{3}-9+4\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[\frac{5\times 7}{3}-9+4\]
Simplify  \(5\times 7\)  to  \(35\).
\[\frac{35}{3}-9+4\]
Simplify.
\[\frac{20}{3}\]

Decimal Form: 6.666667