Solve 2div7/9=n/6

$$2 \div \frac { 7 } { 9 } = \frac { n } { 6 }$$

Solve for n

$$n = \frac{108}{7} = 15\frac{3}{7} \approx 15.428571429$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6.

$$6\times \frac{2}{\frac{7}{9}}=n$$

Divide 2 by \frac{7}{9} by multiplying 2 by the reciprocal of \frac{7}{9}.

$$6\times 2\times \frac{9}{7}=n$$

Express 2\times \frac{9}{7} as a single fraction.

$$6\times \frac{2\times 9}{7}=n$$

Multiply 2 and 9 to get 18.

$$6\times \frac{18}{7}=n$$

Express 6\times \frac{18}{7} as a single fraction.

$$\frac{6\times 18}{7}=n$$

Multiply 6 and 18 to get 108.

$$\frac{108}{7}=n$$

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

$$n=\frac{108}{7}$$