Solve =218/27-36/9-18/2+2

$$= \frac { 218 } { 27 } - \frac { 36 } { 9 } - \frac { 18 } { 2 } + 2$$

Evaluate

$$-\frac{79}{27}\approx -2.925925926$$

Solution Steps

Divide 36 by 9 to get 4.

$$\frac{218}{27}-4-\frac{18}{2}+2$$

Convert 4 to fraction \frac{108}{27}.

$$\frac{218}{27}-\frac{108}{27}-\frac{18}{2}+2$$

Since \frac{218}{27} and \frac{108}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{218-108}{27}-\frac{18}{2}+2$$

Subtract 108 from 218 to get 110.

$$\frac{110}{27}-\frac{18}{2}+2$$

Divide 18 by 2 to get 9.

$$\frac{110}{27}-9+2$$

Convert 9 to fraction \frac{243}{27}.

$$\frac{110}{27}-\frac{243}{27}+2$$

Since \frac{110}{27} and \frac{243}{27} have the same denominator, subtract them by subtracting their numerators.

$$\frac{110-243}{27}+2$$

Subtract 243 from 110 to get -133.

$$-\frac{133}{27}+2$$

Convert 2 to fraction \frac{54}{27}.

$$-\frac{133}{27}+\frac{54}{27}$$

Since -\frac{133}{27} and \frac{54}{27} have the same denominator, add them by adding their numerators.

$$\frac{-133+54}{27}$$

Add -133 and 54 to get -79.

$$-\frac{79}{27}$$

Factor

$$-\frac{79}{27} = -2\frac{25}{27} = -2.925925925925926$$