Solve y^2/x^2+4*981/x^2/frac{2*981{x^2}}

$$\frac{ \frac{ { y }^{ 2 } }{ { x }^{ 2 } } + \frac{ 4 \cdot 981 }{ { x }^{ 2 } } }{ \frac{ 2 \cdot 981 }{ { x }^{ 2 } } }$$

Evaluate

$$\frac{y^{2}}{1962}+2$$

Solution Steps

Multiply 4 and 981 to get 3924.

$$\frac{\frac{y^{2}}{x^{2}}+\frac{3924}{x^{2}}}{\frac{2\times 981}{x^{2}}}$$

Since \frac{y^{2}}{x^{2}} and \frac{3924}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{\frac{y^{2}+3924}{x^{2}}}{\frac{2\times 981}{x^{2}}}$$

Multiply 2 and 981 to get 1962.

$$\frac{\frac{y^{2}+3924}{x^{2}}}{\frac{1962}{x^{2}}}$$

Divide \frac{y^{2}+3924}{x^{2}} by \frac{1962}{x^{2}} by multiplying \frac{y^{2}+3924}{x^{2}} by the reciprocal of \frac{1962}{x^{2}}.

$$\frac{\left(y^{2}+3924\right)x^{2}}{x^{2}\times 1962}$$

Cancel out x^{2} in both numerator and denominator.

$$\frac{y^{2}+3924}{1962}$$

Expand

$$\frac{y^{2}}{1962}+2$$

Solution Steps

Multiply 4 and 981 to get 3924.

$$\frac{\frac{y^{2}}{x^{2}}+\frac{3924}{x^{2}}}{\frac{2\times 981}{x^{2}}}$$

Since \frac{y^{2}}{x^{2}} and \frac{3924}{x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{\frac{y^{2}+3924}{x^{2}}}{\frac{2\times 981}{x^{2}}}$$

Multiply 2 and 981 to get 1962.

$$\frac{\frac{y^{2}+3924}{x^{2}}}{\frac{1962}{x^{2}}}$$

Divide \frac{y^{2}+3924}{x^{2}} by \frac{1962}{x^{2}} by multiplying \frac{y^{2}+3924}{x^{2}} by the reciprocal of \frac{1962}{x^{2}}.

$$\frac{\left(y^{2}+3924\right)x^{2}}{x^{2}\times 1962}$$

Cancel out x^{2} in both numerator and denominator.

$$\frac{y^{2}+3924}{1962}$$