Solve 22.5-3*3/frac{11*2{5}}

$$\frac { 22.5 - 3 \times 3 } { \frac { 11 \times 2 } { 5 } }$$

Evaluate

$$\frac{135}{44}\approx 3.068181818$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{22.5-9}{\frac{11\times 2}{5}}$$

Subtract 9 from 22.5 to get 13.5.

$$\frac{13.5}{\frac{11\times 2}{5}}$$

Multiply 11 and 2 to get 22.

$$\frac{13.5}{\frac{22}{5}}$$

Divide 13.5 by \frac{22}{5} by multiplying 13.5 by the reciprocal of \frac{22}{5}.

$$13.5\times \frac{5}{22}$$

Convert decimal number 13.5 to fraction \frac{135}{10}. Reduce the fraction \frac{135}{10} to lowest terms by extracting and canceling out 5.

$$\frac{27}{2}\times \frac{5}{22}$$

Multiply \frac{27}{2} times \frac{5}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 5}{2\times 22}$$

Do the multiplications in the fraction \frac{27\times 5}{2\times 22}.

$$\frac{135}{44}$$

Factor

$$\frac{5 \cdot 3 ^ {3}}{11 \cdot 2 ^ {2}} = 3\frac{3}{44} = 3.0681818181818183$$