Solve frac{bsqrt{5}}{16}*8/20=5/11

$$\frac { b \sqrt { 5 } } { 16 } \times \frac { 8 } { 20 } = \frac { 5 } { 11 }$$

Solve for b

$$b = \frac{40 \sqrt{5}}{11} \approx 8.131156282$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 880, the least common multiple of 16,20,11.

$$55b\sqrt{5}\times \frac{8}{20}=400$$

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$55b\sqrt{5}\times \frac{2}{5}=400$$

Express 55\times \frac{2}{5} as a single fraction.

$$\frac{55\times 2}{5}b\sqrt{5}=400$$

Multiply 55 and 2 to get 110.

$$\frac{110}{5}b\sqrt{5}=400$$

Divide 110 by 5 to get 22.

$$22b\sqrt{5}=400$$

The equation is in standard form.

$$22\sqrt{5}b=400$$

Divide both sides by 22\sqrt{5}.

$$\frac{22\sqrt{5}b}{22\sqrt{5}}=\frac{400}{22\sqrt{5}}$$

Dividing by 22\sqrt{5} undoes the multiplication by 22\sqrt{5}.

$$b=\frac{400}{22\sqrt{5}}$$

Divide 400 by 22\sqrt{5}.

$$b=\frac{40\sqrt{5}}{11}$$