Solve (-7/12-1*1/4)-(-2*1/3)=

$$( - \frac { 7 } { 12 } - 1 \cdot \frac { 1 } { 4 } ) - ( - 2 \cdot \frac { 1 } { 3 } ) =$$

Evaluate

$$-\frac{1}{6}\approx -0.166666667$$

Solution Steps

Multiply 1 and \frac{1}{4} to get \frac{1}{4}.

$$-\frac{7}{12}-\frac{1}{4}-\left(-2\times \frac{1}{3}\right)$$

Least common multiple of 12 and 4 is 12. Convert -\frac{7}{12} and \frac{1}{4} to fractions with denominator 12.

$$-\frac{7}{12}-\frac{3}{12}-\left(-2\times \frac{1}{3}\right)$$

Since -\frac{7}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-7-3}{12}-\left(-2\times \frac{1}{3}\right)$$

Subtract 3 from -7 to get -10.

$$\frac{-10}{12}-\left(-2\times \frac{1}{3}\right)$$

Reduce the fraction \frac{-10}{12} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{6}-\left(-2\times \frac{1}{3}\right)$$

Multiply -2 and \frac{1}{3} to get \frac{-2}{3}.

$$-\frac{5}{6}-\frac{-2}{3}$$

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{5}{6}-\left(-\frac{2}{3}\right)$$

The opposite of -\frac{2}{3} is \frac{2}{3}.

$$-\frac{5}{6}+\frac{2}{3}$$

Least common multiple of 6 and 3 is 6. Convert -\frac{5}{6} and \frac{2}{3} to fractions with denominator 6.

$$-\frac{5}{6}+\frac{4}{6}$$

Since -\frac{5}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{-5+4}{6}$$

Add -5 and 4 to get -1.

$$-\frac{1}{6}$$

Factor

$$-\frac{1}{6} = -0.16666666666666666$$