Solve x/2/frac{1{2}}=1/frac{54{7}}

$$\frac{ \frac{ x }{ 2 } }{ \frac{ 1 }{ 2 } } = \frac{ 1 }{ \frac{ 54 }{ 7 } }$$

Solve for x

$$x=\frac{7}{54}\approx 0.12962963$$

Steps for Solving Linear Equation

Divide 1 by \frac{54}{7} by multiplying 1 by the reciprocal of \frac{54}{7}.

$$\frac{\frac{x}{2}}{\frac{1}{2}}=1\times \frac{7}{54}$$

Multiply 1 and \frac{7}{54} to get \frac{7}{54}.

$$\frac{\frac{x}{2}}{\frac{1}{2}}=\frac{7}{54}$$

Multiply both sides by \frac{1}{2}.

$$\frac{x}{2}=\frac{7}{54}\times \frac{1}{2}$$

Multiply both sides of the equation by 54, the least common multiple of 2,54.

$$27x=7\times \frac{1}{2}$$

Multiply 7 and \frac{1}{2} to get \frac{7}{2}.

$$27x=\frac{7}{2}$$

Divide both sides by 27.

$$x=\frac{\frac{7}{2}}{27}$$

Express \frac{\frac{7}{2}}{27} as a single fraction.

$$x=\frac{7}{2\times 27}$$

Multiply 2 and 27 to get 54.

$$x=\frac{7}{54}$$