Solve 39,5^2-3,5^2/57,5^2-14,5^2

$$\frac { 39,5 ^ { 2 } - 3,5 ^ { 2 } } { 57,5 ^ { 2 } - 14,5 ^ { 2 } }$$

Evaluate

$$\frac{36}{43}\approx 0,837209302$$

Solution Steps

Calculate 5 to the power of 2 and get 25.

$$\frac{39\times 25-3\times 5^{2}}{57\times 5^{2}-14\times 5^{2}}$$

Multiply 39 and 25 to get 975.

$$\frac{975-3\times 5^{2}}{57\times 5^{2}-14\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{975-3\times 25}{57\times 5^{2}-14\times 5^{2}}$$

Multiply 3 and 25 to get 75.

$$\frac{975-75}{57\times 5^{2}-14\times 5^{2}}$$

Subtract 75 from 975 to get 900.

$$\frac{900}{57\times 5^{2}-14\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{900}{57\times 25-14\times 5^{2}}$$

Multiply 57 and 25 to get 1425.

$$\frac{900}{1425-14\times 5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{900}{1425-14\times 25}$$

Multiply 14 and 25 to get 350.

$$\frac{900}{1425-350}$$

Subtract 350 from 1425 to get 1075.

$$\frac{900}{1075}$$

Reduce the fraction \frac{900}{1075} to lowest terms by extracting and canceling out 25.

$$\frac{36}{43}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{43} = 0.8372093023255814$$