Solve 3/5-(1/6+5/18)

$$\frac { 3 } { 5 } - ( \frac { 1 } { 6 } + \frac { 5 } { 18 } )$$

Evaluate

$$\frac{7}{45}\approx 0.155555556$$

Solution Steps

Least common multiple of 6 and 18 is 18. Convert \frac{1}{6} and \frac{5}{18} to fractions with denominator 18.

$$\frac{3}{5}-\left(\frac{3}{18}+\frac{5}{18}\right)$$

Since \frac{3}{18} and \frac{5}{18} have the same denominator, add them by adding their numerators.

$$\frac{3}{5}-\frac{3+5}{18}$$

Add 3 and 5 to get 8.

$$\frac{3}{5}-\frac{8}{18}$$

Reduce the fraction \frac{8}{18} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}-\frac{4}{9}$$

Least common multiple of 5 and 9 is 45. Convert \frac{3}{5} and \frac{4}{9} to fractions with denominator 45.

$$\frac{27}{45}-\frac{20}{45}$$

Since \frac{27}{45} and \frac{20}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-20}{45}$$

Subtract 20 from 27 to get 7.

$$\frac{7}{45}$$

Factor

$$\frac{7}{3 ^ {2} \cdot 5} = 0.15555555555555556$$