Solve 3/10+5/12-1/5

$$\frac { 3 } { 10 } + \frac { 5 } { 12 } - \frac { 1 } { 5 }$$

Evaluate

$$\frac{31}{60}\approx 0.516666667$$

Solution Steps

Least common multiple of 10 and 12 is 60. Convert \frac{3}{10} and \frac{5}{12} to fractions with denominator 60.

$$\frac{18}{60}+\frac{25}{60}-\frac{1}{5}$$

Since \frac{18}{60} and \frac{25}{60} have the same denominator, add them by adding their numerators.

$$\frac{18+25}{60}-\frac{1}{5}$$

Add 18 and 25 to get 43.

$$\frac{43}{60}-\frac{1}{5}$$

Least common multiple of 60 and 5 is 60. Convert \frac{43}{60} and \frac{1}{5} to fractions with denominator 60.

$$\frac{43}{60}-\frac{12}{60}$$

Since \frac{43}{60} and \frac{12}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{43-12}{60}$$

Subtract 12 from 43 to get 31.

$$\frac{31}{60}$$

Factor

$$\frac{31}{2 ^ {2} \cdot 3 \cdot 5} = 0.5166666666666667$$