Solve h/frac{5{2}}=2/sqrt{26/2}

$$\frac{ h }{ \frac{ 5 }{ 2 } } = \frac{ 2 }{ \frac{ \sqrt{ 26 } }{ 2 } }$$

Solve for h

$$h = \frac{5 \sqrt{26}}{13} \approx 1.961161351$$

Steps for Solving Linear Equation

Divide 2 by \frac{\sqrt{26}}{2} by multiplying 2 by the reciprocal of \frac{\sqrt{26}}{2}.

$$\frac{h}{\frac{5}{2}}=\frac{2\times 2}{\sqrt{26}}$$

Multiply 2 and 2 to get 4.

$$\frac{h}{\frac{5}{2}}=\frac{4}{\sqrt{26}}$$

Rationalize the denominator of \frac{4}{\sqrt{26}} by multiplying numerator and denominator by \sqrt{26}.

$$\frac{h}{\frac{5}{2}}=\frac{4\sqrt{26}}{\left(\sqrt{26}\right)^{2}}$$

The square of \sqrt{26} is 26.

$$\frac{h}{\frac{5}{2}}=\frac{4\sqrt{26}}{26}$$

Divide 4\sqrt{26} by 26 to get \frac{2}{13}\sqrt{26}.

$$\frac{h}{\frac{5}{2}}=\frac{2}{13}\sqrt{26}$$

The equation is in standard form.

$$\frac{2}{5}h=\frac{2\sqrt{26}}{13}$$

Divide both sides of the equation by \frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{5}h}{\frac{2}{5}}=\frac{2\sqrt{26}}{\frac{2}{5}\times 13}$$

Dividing by \frac{2}{5} undoes the multiplication by \frac{2}{5}.

$$h=\frac{2\sqrt{26}}{\frac{2}{5}\times 13}$$

Divide \frac{2\sqrt{26}}{13} by \frac{2}{5} by multiplying \frac{2\sqrt{26}}{13} by the reciprocal of \frac{2}{5}.

$$h=\frac{5\sqrt{26}}{13}$$