Solve -16/15+18/7

$$\frac{ -16 }{ 15 } + \frac{ 18 }{ 7 }$$

Evaluate

$$\frac{158}{105}\approx 1.504761905$$

Solution Steps

Fraction \frac{-16}{15} can be rewritten as -\frac{16}{15} by extracting the negative sign.

$$-\frac{16}{15}+\frac{18}{7}$$

Least common multiple of 15 and 7 is 105. Convert -\frac{16}{15} and \frac{18}{7} to fractions with denominator 105.

$$-\frac{112}{105}+\frac{270}{105}$$

Since -\frac{112}{105} and \frac{270}{105} have the same denominator, add them by adding their numerators.

$$\frac{-112+270}{105}$$

Add -112 and 270 to get 158.

$$\frac{158}{105}$$

Factor

$$\frac{2 \cdot 79}{3 \cdot 5 \cdot 7} = 1\frac{53}{105} = 1.5047619047619047$$