Solve 6/7=x/4frac{2{7}}

$$\frac{ 6 }{ 7 } = \frac{ x }{ 4 \frac{ 2 }{ 7 } }$$

Solve for x

$$x = \frac{180}{49} = 3\frac{33}{49} \approx 3.673469388$$

Steps for Solving Linear Equation

Divide x by \frac{4\times 7+2}{7} by multiplying x by the reciprocal of \frac{4\times 7+2}{7}.

$$\frac{6}{7}=\frac{x\times 7}{4\times 7+2}$$

Multiply 4 and 7 to get 28.

$$\frac{6}{7}=\frac{x\times 7}{28+2}$$

Add 28 and 2 to get 30.

$$\frac{6}{7}=\frac{x\times 7}{30}$$

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

$$\frac{x\times 7}{30}=\frac{6}{7}$$

Multiply both sides by 30.

$$x\times 7=\frac{6}{7}\times 30$$

Express \frac{6}{7}\times 30 as a single fraction.

$$x\times 7=\frac{6\times 30}{7}$$

Multiply 6 and 30 to get 180.

$$x\times 7=\frac{180}{7}$$

Divide both sides by 7.

$$x=\frac{\frac{180}{7}}{7}$$

Express \frac{\frac{180}{7}}{7} as a single fraction.

$$x=\frac{180}{7\times 7}$$

Multiply 7 and 7 to get 49.

$$x=\frac{180}{49}$$