Solve -3/4-(7/12-2/8)=

$$- \frac { 3 } { 4 } - ( \frac { 7 } { 12 } - \frac { 2 } { 8 } ) =$$

Evaluate

$$-\frac{13}{12}\approx -1.083333333$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

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

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

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

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

$$-\frac{3}{4}-\frac{7-3}{12}$$

Subtract 3 from 7 to get 4.

$$-\frac{3}{4}-\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$-\frac{3}{4}-\frac{1}{3}$$

Least common multiple of 4 and 3 is 12. Convert -\frac{3}{4} and \frac{1}{3} to fractions with denominator 12.

$$-\frac{9}{12}-\frac{4}{12}$$

Since -\frac{9}{12} and \frac{4}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-9-4}{12}$$

Subtract 4 from -9 to get -13.

$$-\frac{13}{12}$$

Factor

$$-\frac{13}{12} = -1\frac{1}{12} = -1.0833333333333333$$