Solve 21/3-(-33/4)*2

$$2 \frac { 1 } { 3 } - ( - 3 \frac { 3 } { 4 } ) \times 2$$

Evaluate

$$\frac{59}{6}\approx 9.833333333$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{6+1}{3}-\left(-\frac{3\times 4+3}{4}\right)\times 2$$

Add 6 and 1 to get 7.

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

Multiply 3 and 4 to get 12.

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

Add 12 and 3 to get 15.

$$\frac{7}{3}-\left(-\frac{15}{4}\times 2\right)$$

Express -\frac{15}{4}\times 2 as a single fraction.

$$\frac{7}{3}-\frac{-15\times 2}{4}$$

Multiply -15 and 2 to get -30.

$$\frac{7}{3}-\frac{-30}{4}$$

Reduce the fraction \frac{-30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{7}{3}-\left(-\frac{15}{2}\right)$$

The opposite of -\frac{15}{2} is \frac{15}{2}.

$$\frac{7}{3}+\frac{15}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{7}{3} and \frac{15}{2} to fractions with denominator 6.

$$\frac{14}{6}+\frac{45}{6}$$

Since \frac{14}{6} and \frac{45}{6} have the same denominator, add them by adding their numerators.

$$\frac{14+45}{6}$$

Add 14 and 45 to get 59.

$$\frac{59}{6}$$

Factor

$$\frac{59}{2 \cdot 3} = 9\frac{5}{6} = 9.833333333333334$$