Solve -6+27/9+12/15

$$-6+ 2 \frac { 7 } { 9 } + 1 \frac { 2 } { 15 }$$

Evaluate

$$-\frac{94}{45}\approx -2.088888889$$

Solution Steps

Multiply 2 and 9 to get 18.

$$-6+\frac{18+7}{9}+\frac{1\times 15+2}{15}$$

Add 18 and 7 to get 25.

$$-6+\frac{25}{9}+\frac{1\times 15+2}{15}$$

Convert -6 to fraction -\frac{54}{9}.

$$-\frac{54}{9}+\frac{25}{9}+\frac{1\times 15+2}{15}$$

Since -\frac{54}{9} and \frac{25}{9} have the same denominator, add them by adding their numerators.

$$\frac{-54+25}{9}+\frac{1\times 15+2}{15}$$

Add -54 and 25 to get -29.

$$-\frac{29}{9}+\frac{1\times 15+2}{15}$$

Multiply 1 and 15 to get 15.

$$-\frac{29}{9}+\frac{15+2}{15}$$

Add 15 and 2 to get 17.

$$-\frac{29}{9}+\frac{17}{15}$$

Least common multiple of 9 and 15 is 45. Convert -\frac{29}{9} and \frac{17}{15} to fractions with denominator 45.

$$-\frac{145}{45}+\frac{51}{45}$$

Since -\frac{145}{45} and \frac{51}{45} have the same denominator, add them by adding their numerators.

$$\frac{-145+51}{45}$$

Add -145 and 51 to get -94.

$$-\frac{94}{45}$$

Factor

$$-\frac{94}{45} = -2\frac{4}{45} = -2.088888888888889$$