Solve 31/9+16/5-27/5

$$\frac { 31 } { 9 } + \frac { 16 } { 5 } - \frac { 27 } { 5 }$$

Evaluate

$$\frac{56}{45}\approx 1.244444444$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert \frac{31}{9} and \frac{16}{5} to fractions with denominator 45.

$$\frac{155}{45}+\frac{144}{45}-\frac{27}{5}$$

Since \frac{155}{45} and \frac{144}{45} have the same denominator, add them by adding their numerators.

$$\frac{155+144}{45}-\frac{27}{5}$$

Add 155 and 144 to get 299.

$$\frac{299}{45}-\frac{27}{5}$$

Least common multiple of 45 and 5 is 45. Convert \frac{299}{45} and \frac{27}{5} to fractions with denominator 45.

$$\frac{299}{45}-\frac{243}{45}$$

Since \frac{299}{45} and \frac{243}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{299-243}{45}$$

Subtract 243 from 299 to get 56.

$$\frac{56}{45}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {2} \cdot 5} = 1\frac{11}{45} = 1.2444444444444445$$