Solve 46/x=28/9.6

$$\frac { 46 } { x } = \frac { 28 } { 9.6 }$$

Solve for x

$$x = \frac{552}{35} = 15\frac{27}{35} \approx 15.771428571$$

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.

$$46=x\times \frac{28}{9.6}$$

Expand \frac{28}{9.6} by multiplying both numerator and the denominator by 10.

$$46=x\times \frac{280}{96}$$

Reduce the fraction \frac{280}{96} to lowest terms by extracting and canceling out 8.

$$46=x\times \frac{35}{12}$$

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

$$x\times \frac{35}{12}=46$$

Multiply both sides by \frac{12}{35}, the reciprocal of \frac{35}{12}.

$$x=46\times \frac{12}{35}$$

Express 46\times \frac{12}{35} as a single fraction.

$$x=\frac{46\times 12}{35}$$

Multiply 46 and 12 to get 552.

$$x=\frac{552}{35}$$