Solve {c}{(76/30-(2/30)^2)}{*30^2}

$$\left. \begin{array} { c } { ( \frac { 76 } { 30 } - ( \frac { 2 } { 30 } ) ^ { 2 } ) } \\ { \times 30 ^ { 2 } } \end{array} \right.$$

Evaluate

$$2276$$

Solution Steps

Reduce the fraction \frac{76}{30} to lowest terms by extracting and canceling out 2.

$$\left(\frac{38}{15}-\left(\frac{2}{30}\right)^{2}\right)\times 30^{2}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\left(\frac{38}{15}-\left(\frac{1}{15}\right)^{2}\right)\times 30^{2}$$

Calculate \frac{1}{15} to the power of 2 and get \frac{1}{225}.

$$\left(\frac{38}{15}-\frac{1}{225}\right)\times 30^{2}$$

Subtract \frac{1}{225} from \frac{38}{15} to get \frac{569}{225}.

$$\frac{569}{225}\times 30^{2}$$

Calculate 30 to the power of 2 and get 900.

$$\frac{569}{225}\times 900$$

Multiply \frac{569}{225} and 900 to get 2276.

$$2276$$

Factor

$$2^{2}\times 569$$