Solve 3/10/4=9/5/x

$$\frac { \frac { 3 } { 10 } } { 4 } = \frac { \frac { 9 } { 5 } } { x }$$

Solve for x

$$x=24$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of 4,x.

$$x\times \frac{3}{10}=4\times \frac{9}{5}$$

Express 4\times \frac{9}{5} as a single fraction.

$$x\times \frac{3}{10}=\frac{4\times 9}{5}$$

Multiply 4 and 9 to get 36.

$$x\times \frac{3}{10}=\frac{36}{5}$$

Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.

$$x=\frac{36}{5}\times \frac{10}{3}$$

Multiply \frac{36}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{36\times 10}{5\times 3}$$

Do the multiplications in the fraction \frac{36\times 10}{5\times 3}.

$$x=\frac{360}{15}$$

Divide 360 by 15 to get 24.

$$x=24$$