Solve 50/9-36/5+31/9

$$\frac { 50 } { 9 } - \frac { 36 } { 5 } + \frac { 31 } { 9 }$$

Evaluate

$$\frac{9}{5}=1.8$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert \frac{50}{9} and \frac{36}{5} to fractions with denominator 45.

$$\frac{250}{45}-\frac{324}{45}+\frac{31}{9}$$

Since \frac{250}{45} and \frac{324}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{250-324}{45}+\frac{31}{9}$$

Subtract 324 from 250 to get -74.

$$-\frac{74}{45}+\frac{31}{9}$$

Least common multiple of 45 and 9 is 45. Convert -\frac{74}{45} and \frac{31}{9} to fractions with denominator 45.

$$-\frac{74}{45}+\frac{155}{45}$$

Since -\frac{74}{45} and \frac{155}{45} have the same denominator, add them by adding their numerators.

$$\frac{-74+155}{45}$$

Add -74 and 155 to get 81.

$$\frac{81}{45}$$

Reduce the fraction \frac{81}{45} to lowest terms by extracting and canceling out 9.

$$\frac{9}{5}$$

Factor

$$\frac{3 ^ {2}}{5} = 1\frac{4}{5} = 1.8$$