Solve 4/x=5/frac{15{4}}

$$\frac { 4 } { x } = \frac { 5 } { \frac { 15 } { 4 } }$$

Solve for x

$$x=3$$

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 x.

$$4=x\times \frac{5}{\frac{15}{4}}$$

Divide 5 by \frac{15}{4} by multiplying 5 by the reciprocal of \frac{15}{4}.

$$4=x\times 5\times \frac{4}{15}$$

Express 5\times \frac{4}{15} as a single fraction.

$$4=x\times \frac{5\times 4}{15}$$

Multiply 5 and 4 to get 20.

$$4=x\times \frac{20}{15}$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

$$4=x\times \frac{4}{3}$$

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

$$x\times \frac{4}{3}=4$$

Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.

$$x=4\times \frac{3}{4}$$

Cancel out 4 and 4.

$$x=3$$