Solve (4+5)/frac{n{3}}=6

$$\frac { ( 4 + 5 ) } { \frac { n } { 3 } } = 6$$

Solve for n

$$n = \frac{9}{2} = 4\frac{1}{2} = 4.5$$

Steps for Solving Linear Equation

Add 4 and 5 to get 9.

$$\frac{9}{\frac{n}{3}}=6$$

Divide 9 by \frac{n}{3} by multiplying 9 by the reciprocal of \frac{n}{3}.

$$\frac{9\times 3}{n}=6$$

Multiply 9 and 3 to get 27.

$$\frac{27}{n}=6$$

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.

$$27=6n$$

Divide both sides by 6.

$$\frac{27}{6}=n$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$\frac{9}{2}=n$$

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

$$n=\frac{9}{2}$$