Solve 12pin-(3/2+2/5)

$$12 \pi n - ( \frac { 3 } { 2 } + \frac { 2 } { 5 } )$$

Evaluate

$$12\pi n-\frac{19}{10}$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{2}{5} to fractions with denominator 10.

$$12\pi n-\left(\frac{15}{10}+\frac{4}{10}\right)$$

Since \frac{15}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$12\pi n-\frac{15+4}{10}$$

Add 15 and 4 to get 19.

$$12\pi n-\frac{19}{10}$$

Expand

$$12\pi n-\frac{19}{10}$$

Solution Steps

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{2}{5} to fractions with denominator 10.

$$12\pi n-\left(\frac{15}{10}+\frac{4}{10}\right)$$

Since \frac{15}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$12\pi n-\frac{15+4}{10}$$

Add 15 and 4 to get 19.

$$12\pi n-\frac{19}{10}$$