Solve -2/3-2/42+c

$$- \frac { 2 } { 3 } - \frac { 2 } { 4 } 2 + c$$

Evaluate

$$c = -\frac{5}{3} = -1\frac{2}{3} = -1.6666666666666667$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{3}-\frac{1}{2}\times 2+c$$

Cancel out 2 and 2.

$$-\frac{2}{3}-1+c$$

Convert 1 to fraction \frac{3}{3}.

$$-\frac{2}{3}-\frac{3}{3}+c$$

Since -\frac{2}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-3}{3}+c$$

Subtract 3 from -2 to get -5.

$$-\frac{5}{3}+c$$

Factor

$$\frac{3c-5}{3}$$

Solution Steps

Factor out \frac{1}{3}.

$$\frac{-5+3c}{3}$$

Consider -2-3+3c. Multiply and combine like terms.

$$3c-5$$

Rewrite the complete factored expression.

$$\frac{3c-5}{3}$$