Solve 100+0.25/0.12(16-100)/0.12

$$\frac{ 100+ \frac{ 0.25 }{ 0.12 } (16-100) }{ 0.12 }$$

Evaluate

$$-625$$

Solution Steps

Expand \frac{0.25}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{100+\frac{25}{12}\left(16-100\right)}{0.12}$$

Subtract 100 from 16 to get -84.

$$\frac{100+\frac{25}{12}\left(-84\right)}{0.12}$$

Express \frac{25}{12}\left(-84\right) as a single fraction.

$$\frac{100+\frac{25\left(-84\right)}{12}}{0.12}$$

Multiply 25 and -84 to get -2100.

$$\frac{100+\frac{-2100}{12}}{0.12}$$

Divide -2100 by 12 to get -175.

$$\frac{100-175}{0.12}$$

Subtract 175 from 100 to get -75.

$$\frac{-75}{0.12}$$

Expand \frac{-75}{0.12} by multiplying both numerator and the denominator by 100.

$$\frac{-7500}{12}$$

Divide -7500 by 12 to get -625.

$$-625$$

Factor

$$-625$$