Solve (-14)^2+3/5/3/5*3

$$\frac { ( - 14 ) ^ { 2 } + 3 / 5 } { 3 / 5 \cdot 3 }$$

Evaluate

$$\frac{983}{9}\approx 109.222222222$$

Solution Steps

Calculate -14 to the power of 2 and get 196.

$$\frac{196+\frac{3}{5}}{\frac{3}{5}\times 3}$$

Convert 196 to fraction \frac{980}{5}.

$$\frac{\frac{980}{5}+\frac{3}{5}}{\frac{3}{5}\times 3}$$

Since \frac{980}{5} and \frac{3}{5} have the same denominator, add them by adding their numerators.

$$\frac{\frac{980+3}{5}}{\frac{3}{5}\times 3}$$

Add 980 and 3 to get 983.

$$\frac{\frac{983}{5}}{\frac{3}{5}\times 3}$$

Express \frac{3}{5}\times 3 as a single fraction.

$$\frac{\frac{983}{5}}{\frac{3\times 3}{5}}$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{983}{5}}{\frac{9}{5}}$$

Divide \frac{983}{5} by \frac{9}{5} by multiplying \frac{983}{5} by the reciprocal of \frac{9}{5}.

$$\frac{983}{5}\times \frac{5}{9}$$

Multiply \frac{983}{5} times \frac{5}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{983\times 5}{5\times 9}$$

Cancel out 5 in both numerator and denominator.

$$\frac{983}{9}$$

Factor

$$\frac{983}{3 ^ {2}} = 109\frac{2}{9} = 109.22222222222223$$