Solve -32/3+2/4-7/12-(-51/4)=

$$- 3 \frac { 2 } { 3 } + \frac { 2 } { 4 } - \frac { 7 } { 12 } - ( - 5 \frac { 1 } { 4 } ) =$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Multiply 3 and 3 to get 9.

$$-\frac{9+2}{3}+\frac{2}{4}-\frac{7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Add 9 and 2 to get 11.

$$-\frac{11}{3}+\frac{2}{4}-\frac{7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

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

$$-\frac{11}{3}+\frac{1}{2}-\frac{7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Least common multiple of 3 and 2 is 6. Convert -\frac{11}{3} and \frac{1}{2} to fractions with denominator 6.

$$-\frac{22}{6}+\frac{3}{6}-\frac{7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Since -\frac{22}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{-22+3}{6}-\frac{7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Add -22 and 3 to get -19.

$$-\frac{19}{6}-\frac{7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Least common multiple of 6 and 12 is 12. Convert -\frac{19}{6} and \frac{7}{12} to fractions with denominator 12.

$$-\frac{38}{12}-\frac{7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Since -\frac{38}{12} and \frac{7}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-38-7}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Subtract 7 from -38 to get -45.

$$\frac{-45}{12}-\left(-\frac{5\times 4+1}{4}\right)$$

Reduce the fraction \frac{-45}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{15}{4}-\left(-\frac{5\times 4+1}{4}\right)$$

Multiply 5 and 4 to get 20.

$$-\frac{15}{4}-\left(-\frac{20+1}{4}\right)$$

Add 20 and 1 to get 21.

$$-\frac{15}{4}-\left(-\frac{21}{4}\right)$$

The opposite of -\frac{21}{4} is \frac{21}{4}.

$$-\frac{15}{4}+\frac{21}{4}$$

Since -\frac{15}{4} and \frac{21}{4} have the same denominator, add them by adding their numerators.

$$\frac{-15+21}{4}$$

Add -15 and 21 to get 6.

$$\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$