Solve 5/12+(-4/15)

$$\frac { 5 } { 12 } + ( - \frac { 4 } { 15 } )$$

Evaluate

$$\frac{3}{20}=0.15$$

Solution Steps

Least common multiple of 12 and 15 is 60. Convert \frac{5}{12} and \frac{4}{15} to fractions with denominator 60.

$$\frac{25}{60}-\frac{16}{60}$$

Since \frac{25}{60} and \frac{16}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-16}{60}$$

Subtract 16 from 25 to get 9.

$$\frac{9}{60}$$

Reduce the fraction \frac{9}{60} to lowest terms by extracting and canceling out 3.

$$\frac{3}{20}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 5} = 0.15$$