Solve frac{3sqrt{41}}{4sqrt{41}}=x/16

$$\frac { 3 \sqrt { 41 } } { 4 \sqrt { 41 } } = \frac { x } { 16 }$$

Solve for x

$$x=12$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 16.

$$\frac{4}{41}\times 41^{\frac{1}{2}}\times 3\sqrt{41}=x$$

Express \frac{4}{41}\times 3 as a single fraction.

$$\frac{4\times 3}{41}\times 41^{\frac{1}{2}}\sqrt{41}=x$$

Multiply 4 and 3 to get 12.

$$\frac{12}{41}\times 41^{\frac{1}{2}}\sqrt{41}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{12}{41}\times 41^{\frac{1}{2}}\sqrt{41}$$

Reorder the terms.

$$x=\frac{12}{41}\sqrt{41}\sqrt{41}$$

Multiply \sqrt{41} and \sqrt{41} to get 41.

$$x=\frac{12}{41}\times 41$$

Cancel out 41 and 41.

$$x=12$$