Solve 200/12+45-105/9

$$\frac{ 200 }{ 12 } +45- \frac{ 105 }{ 9 }$$

Evaluate

$$50$$

Solution Steps

Reduce the fraction \frac{200}{12} to lowest terms by extracting and canceling out 4.

$$\frac{50}{3}+45-\frac{105}{9}$$

Convert 45 to fraction \frac{135}{3}.

$$\frac{50}{3}+\frac{135}{3}-\frac{105}{9}$$

Since \frac{50}{3} and \frac{135}{3} have the same denominator, add them by adding their numerators.

$$\frac{50+135}{3}-\frac{105}{9}$$

Add 50 and 135 to get 185.

$$\frac{185}{3}-\frac{105}{9}$$

Reduce the fraction \frac{105}{9} to lowest terms by extracting and canceling out 3.

$$\frac{185}{3}-\frac{35}{3}$$

Since \frac{185}{3} and \frac{35}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{185-35}{3}$$

Subtract 35 from 185 to get 150.

$$\frac{150}{3}$$

Divide 150 by 3 to get 50.

$$50$$

Factor

$$2\times 5^{2}$$