Solve frac{frac{5}3^2}{2}3^3/1

$$\frac { \frac { 5 } { 3 } ^ { 2 } } { 2 } \frac { 3 ^ { 3 } } { 1 }$$

Evaluate

$$\frac{75}{2}=37.5$$

Solution Steps

Calculate \frac{5}{3} to the power of 2 and get \frac{25}{9}.

$$\frac{\frac{25}{9}}{2}\times \frac{3^{3}}{1}$$

Express \frac{\frac{25}{9}}{2} as a single fraction.

$$\frac{25}{9\times 2}\times \frac{3^{3}}{1}$$

Multiply 9 and 2 to get 18.

$$\frac{25}{18}\times \frac{3^{3}}{1}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{25}{18}\times \frac{27}{1}$$

Anything divided by one gives itself.

$$\frac{25}{18}\times 27$$

Express \frac{25}{18}\times 27 as a single fraction.

$$\frac{25\times 27}{18}$$

Multiply 25 and 27 to get 675.

$$\frac{675}{18}$$

Reduce the fraction \frac{675}{18} to lowest terms by extracting and canceling out 9.

$$\frac{75}{2}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2} = 37\frac{1}{2} = 37.5$$