Solve (-15)/25-(-16)/24

$$\frac { ( - 15 ) } { 25 } - \frac { ( - 16 ) } { 24 }$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Reduce the fraction \frac{-15}{25} to lowest terms by extracting and canceling out 5.

$$-\frac{3}{5}-\frac{-16}{24}$$

Reduce the fraction \frac{-16}{24} to lowest terms by extracting and canceling out 8.

$$-\frac{3}{5}-\left(-\frac{2}{3}\right)$$

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$-\frac{3}{5}+\frac{2}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{3}{5} and \frac{2}{3} to fractions with denominator 15.

$$-\frac{9}{15}+\frac{10}{15}$$

Since -\frac{9}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.

$$\frac{-9+10}{15}$$

Add -9 and 10 to get 1.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$