Solve (52^2-80)/5/3(3+4)

$$\frac { ( 52 ^ { 2 } - 80 ) } { 5 / 3 ( 3 + 4 ) }$$

Evaluate

$$\frac{7872}{35}\approx 224.914285714$$

Solution Steps

Calculate 52 to the power of 2 and get 2704.

$$\frac{2704-80}{\frac{5}{3}\left(3+4\right)}$$

Subtract 80 from 2704 to get 2624.

$$\frac{2624}{\frac{5}{3}\left(3+4\right)}$$

Add 3 and 4 to get 7.

$$\frac{2624}{\frac{5}{3}\times 7}$$

Express \frac{5}{3}\times 7 as a single fraction.

$$\frac{2624}{\frac{5\times 7}{3}}$$

Multiply 5 and 7 to get 35.

$$\frac{2624}{\frac{35}{3}}$$

Divide 2624 by \frac{35}{3} by multiplying 2624 by the reciprocal of \frac{35}{3}.

$$2624\times \frac{3}{35}$$

Express 2624\times \frac{3}{35} as a single fraction.

$$\frac{2624\times 3}{35}$$

Multiply 2624 and 3 to get 7872.

$$\frac{7872}{35}$$

Factor

$$\frac{2 ^ {6} \cdot 3 \cdot 41}{5 \cdot 7} = 224\frac{32}{35} = 224.9142857142857$$