Solve 11k^2+13k^2-7k^2/2*11*13k^2

$$\frac{ 11 { k }^{ 2 } +13 { k }^{ 2 } -7 { k }^{ 2 } }{ 2 \cdot 11 \cdot 13 { k }^{ 2 } }$$

Evaluate

$$\frac{17}{286}\approx 0.059440559$$

Solution Steps

Combine 11k^{2} and 13k^{2} to get 24k^{2}.

$$\frac{24k^{2}-7k^{2}}{2\times 11\times 13k^{2}}$$

Combine 24k^{2} and -7k^{2} to get 17k^{2}.

$$\frac{17k^{2}}{2\times 11\times 13k^{2}}$$

Multiply 2 and 11 to get 22.

$$\frac{17k^{2}}{22\times 13k^{2}}$$

Multiply 22 and 13 to get 286.

$$\frac{17k^{2}}{286k^{2}}$$

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

$$\frac{17}{286}$$

Factor

$$\frac{17}{2 \cdot 11 \cdot 13} = 0.05944055944055944$$