Solve -16/27-24/30=

$$- \frac { 16 } { 27 } - \frac { 24 } { 30 } =$$

Evaluate

$$-\frac{188}{135}\approx -1.392592593$$

Solution Steps

Reduce the fraction \frac{24}{30} to lowest terms by extracting and canceling out 6.

$$-\frac{16}{27}-\frac{4}{5}$$

Least common multiple of 27 and 5 is 135. Convert -\frac{16}{27} and \frac{4}{5} to fractions with denominator 135.

$$-\frac{80}{135}-\frac{108}{135}$$

Since -\frac{80}{135} and \frac{108}{135} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-80-108}{135}$$

Subtract 108 from -80 to get -188.

$$-\frac{188}{135}$$

Factor

$$-\frac{188}{135} = -1\frac{53}{135} = -1.3925925925925926$$