Solve 11/15-(14/45+2/45)

$$\frac { 11 } { 15 } - ( \frac { 14 } { 45 } + \frac { 2 } { 45 } )$$

Evaluate

$$\frac{17}{45}\approx 0.377777778$$

Solution Steps

Since \frac{14}{45} and \frac{2}{45} have the same denominator, add them by adding their numerators.

$$\frac{11}{15}-\frac{14+2}{45}$$

Add 14 and 2 to get 16.

$$\frac{11}{15}-\frac{16}{45}$$

Least common multiple of 15 and 45 is 45. Convert \frac{11}{15} and \frac{16}{45} to fractions with denominator 45.

$$\frac{33}{45}-\frac{16}{45}$$

Since \frac{33}{45} and \frac{16}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-16}{45}$$

Subtract 16 from 33 to get 17.

$$\frac{17}{45}$$

Factor

$$\frac{17}{3 ^ {2} \cdot 5} = 0.37777777777777777$$