Solve 1/7:7/7=2x:1

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

Solve for x

$$x=\frac{1}{14}\approx 0.071428571$$

Steps for Solving Linear Equation

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

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

Multiply 7 and 7 to get 49.

$$\frac{7}{49}=\frac{2x}{1}$$

Reduce the fraction \frac{7}{49} to lowest terms by extracting and canceling out 7.

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

Anything divided by one gives itself.

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

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

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

Divide both sides by 2.

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

Express \frac{\frac{1}{7}}{2} as a single fraction.

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

Multiply 7 and 2 to get 14.

$$x=\frac{1}{14}$$