Solve (-17/25)-(-16/24)

$$( - \frac { 17 } { 25 } ) - ( - \frac { 16 } { 24 } )$$

Evaluate

$$-\frac{1}{75}\approx -0.013333333$$

Solution Steps

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

$$-\frac{17}{25}-\left(-\frac{2}{3}\right)$$

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

$$-\frac{17}{25}+\frac{2}{3}$$

Least common multiple of 25 and 3 is 75. Convert -\frac{17}{25} and \frac{2}{3} to fractions with denominator 75.

$$-\frac{51}{75}+\frac{50}{75}$$

Since -\frac{51}{75} and \frac{50}{75} have the same denominator, add them by adding their numerators.

$$\frac{-51+50}{75}$$

Add -51 and 50 to get -1.

$$-\frac{1}{75}$$

Factor

$$-\frac{1}{75} = -0.013333333333333334$$