Solve -28/9+25/6

$$- 2 \frac { 8 } { 9 } + 2 \frac { 5 } { 6 }$$

Evaluate

$$-\frac{1}{18}\approx -0.055555556$$

Solution Steps

Multiply 2 and 9 to get 18.

$$-\frac{18+8}{9}+\frac{2\times 6+5}{6}$$

Add 18 and 8 to get 26.

$$-\frac{26}{9}+\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$-\frac{26}{9}+\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$-\frac{26}{9}+\frac{17}{6}$$

Least common multiple of 9 and 6 is 18. Convert -\frac{26}{9} and \frac{17}{6} to fractions with denominator 18.

$$-\frac{52}{18}+\frac{51}{18}$$

Since -\frac{52}{18} and \frac{51}{18} have the same denominator, add them by adding their numerators.

$$\frac{-52+51}{18}$$

Add -52 and 51 to get -1.

$$-\frac{1}{18}$$

Factor

$$-\frac{1}{18} = -0.05555555555555555$$