Solve 100/x=44/3.3

$$\frac { 100 } { x } = \frac { 44 } { 3.3 }$$

Solve for x

$$x=7.5$$

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.

$$100=x\times \frac{44}{3.3}$$

Expand \frac{44}{3.3} by multiplying both numerator and the denominator by 10.

$$100=x\times \frac{440}{33}$$

Reduce the fraction \frac{440}{33} to lowest terms by extracting and canceling out 11.

$$100=x\times \frac{40}{3}$$

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

$$x\times \frac{40}{3}=100$$

Multiply both sides by \frac{3}{40}, the reciprocal of \frac{40}{3}.

$$x=100\times \frac{3}{40}$$

Express 100\times \frac{3}{40} as a single fraction.

$$x=\frac{100\times 3}{40}$$

Multiply 100 and 3 to get 300.

$$x=\frac{300}{40}$$

Reduce the fraction \frac{300}{40} to lowest terms by extracting and canceling out 20.

$$x=\frac{15}{2}$$