Solve 112.5*x/100=120

$$112.5 \cdot \frac { x } { 100 } = 120$$

Solve for x

$$x = \frac{320}{3} = 106\frac{2}{3} \approx 106.666666667$$

Steps for Solving Linear Equation

Divide both sides by 112.5.

$$\frac{x}{100}=\frac{120}{112.5}$$

Expand \frac{120}{112.5} by multiplying both numerator and the denominator by 10.

$$\frac{x}{100}=\frac{1200}{1125}$$

Reduce the fraction \frac{1200}{1125} to lowest terms by extracting and canceling out 75.

$$\frac{x}{100}=\frac{16}{15}$$

Multiply both sides by 100.

$$x=\frac{16}{15}\times 100$$

Express \frac{16}{15}\times 100 as a single fraction.

$$x=\frac{16\times 100}{15}$$

Multiply 16 and 100 to get 1600.

$$x=\frac{1600}{15}$$

Reduce the fraction \frac{1600}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{320}{3}$$