Solve 41/2/g=1/frac{4{9}}

$$\frac { 4 \frac { 1 } { 2 } } { g } = \frac { 1 } { \frac { 4 } { 9 } }$$

Solve for g

$$g=2$$

Steps for Solving Linear Equation

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

$$\frac{4\times 2+1}{2}=g\times \frac{1}{\frac{4}{9}}$$

Multiply 4 and 2 to get 8.

$$\frac{8+1}{2}=g\times \frac{1}{\frac{4}{9}}$$

Add 8 and 1 to get 9.

$$\frac{9}{2}=g\times \frac{1}{\frac{4}{9}}$$

Divide 1 by \frac{4}{9} by multiplying 1 by the reciprocal of \frac{4}{9}.

$$\frac{9}{2}=g\times 1\times \frac{9}{4}$$

Multiply 1 and \frac{9}{4} to get \frac{9}{4}.

$$\frac{9}{2}=g\times \frac{9}{4}$$

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

$$g\times \frac{9}{4}=\frac{9}{2}$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$g=\frac{9}{2}\times \frac{4}{9}$$

Multiply \frac{9}{2} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$g=\frac{9\times 4}{2\times 9}$$

Cancel out 9 in both numerator and denominator.

$$g=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$g=2$$