Solve 24^2-11^2/49^2-36^2

$$\frac { 24 ^ { 2 } - 11 ^ { 2 } } { 49 ^ { 2 } - 36 ^ { 2 } }$$

Evaluate

$$\frac{7}{17}\approx 0.411764706$$

Solution Steps

Calculate 24 to the power of 2 and get 576.

$$\frac{576-11^{2}}{49^{2}-36^{2}}$$

Calculate 11 to the power of 2 and get 121.

$$\frac{576-121}{49^{2}-36^{2}}$$

Subtract 121 from 576 to get 455.

$$\frac{455}{49^{2}-36^{2}}$$

Calculate 49 to the power of 2 and get 2401.

$$\frac{455}{2401-36^{2}}$$

Calculate 36 to the power of 2 and get 1296.

$$\frac{455}{2401-1296}$$

Subtract 1296 from 2401 to get 1105.

$$\frac{455}{1105}$$

Reduce the fraction \frac{455}{1105} to lowest terms by extracting and canceling out 65.

$$\frac{7}{17}$$

Factor

$$\frac{7}{17} = 0.4117647058823529$$