Solve 108div100+2-8-12+306

$$108 \div 100 + 2 - 8 - 12 + 306$$

Evaluate

$$\frac{7227}{25}=289.08$$

Solution Steps

Reduce the fraction \frac{108}{100} to lowest terms by extracting and canceling out 4.

$$\frac{27}{25}+2-8-12+306$$

Convert 2 to fraction \frac{50}{25}.

$$\frac{27}{25}+\frac{50}{25}-8-12+306$$

Since \frac{27}{25} and \frac{50}{25} have the same denominator, add them by adding their numerators.

$$\frac{27+50}{25}-8-12+306$$

Add 27 and 50 to get 77.

$$\frac{77}{25}-8-12+306$$

Convert 8 to fraction \frac{200}{25}.

$$\frac{77}{25}-\frac{200}{25}-12+306$$

Since \frac{77}{25} and \frac{200}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-200}{25}-12+306$$

Subtract 200 from 77 to get -123.

$$-\frac{123}{25}-12+306$$

Convert 12 to fraction \frac{300}{25}.

$$-\frac{123}{25}-\frac{300}{25}+306$$

Since -\frac{123}{25} and \frac{300}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-123-300}{25}+306$$

Subtract 300 from -123 to get -423.

$$-\frac{423}{25}+306$$

Convert 306 to fraction \frac{7650}{25}.

$$-\frac{423}{25}+\frac{7650}{25}$$

Since -\frac{423}{25} and \frac{7650}{25} have the same denominator, add them by adding their numerators.

$$\frac{-423+7650}{25}$$

Add -423 and 7650 to get 7227.

$$\frac{7227}{25}$$

Factor

$$\frac{3 ^ {2} \cdot 11 \cdot 73}{5 ^ {2}} = 289\frac{2}{25} = 289.08$$