Solve 2*16^2/65^2-1

$$2 \times \frac { 16 ^ { 2 } } { 65 ^ { 2 } } - 1$$

Evaluate

$$-\frac{3713}{4225}\approx -0.878816568$$

Solution Steps

Calculate 16 to the power of 2 and get 256.

$$2\times \frac{256}{65^{2}}-1$$

Calculate 65 to the power of 2 and get 4225.

$$2\times \frac{256}{4225}-1$$

Express 2\times \frac{256}{4225} as a single fraction.

$$\frac{2\times 256}{4225}-1$$

Multiply 2 and 256 to get 512.

$$\frac{512}{4225}-1$$

Convert 1 to fraction \frac{4225}{4225}.

$$\frac{512}{4225}-\frac{4225}{4225}$$

Since \frac{512}{4225} and \frac{4225}{4225} have the same denominator, subtract them by subtracting their numerators.

$$\frac{512-4225}{4225}$$

Subtract 4225 from 512 to get -3713.

$$-\frac{3713}{4225}$$

Factor

$$-\frac{3713}{4225} = -0.8788165680473373$$