Solve 2-3-1/-2*1/3/frac{7{3}+-15-1/2}+3

$$\frac { 2 - \frac { 3 - 1 } { - 2 } \times \frac { 1 } { 3 } } { \frac { 7 } { 3 } + \frac { - 15 - 1 } { 2 } } + 3$$

Evaluate

$$\frac{44}{17}\approx 2.588235294$$

Solution Steps

Subtract 1 from 3 to get 2.

$$\frac{2-\frac{2}{-2}\times \frac{1}{3}}{\frac{7}{3}+\frac{-15-1}{2}}+3$$

Divide 2 by -2 to get -1.

$$\frac{2-\left(-\frac{1}{3}\right)}{\frac{7}{3}+\frac{-15-1}{2}}+3$$

The opposite of -\frac{1}{3} is \frac{1}{3}.

$$\frac{2+\frac{1}{3}}{\frac{7}{3}+\frac{-15-1}{2}}+3$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{\frac{6}{3}+\frac{1}{3}}{\frac{7}{3}+\frac{-15-1}{2}}+3$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{6+1}{3}}{\frac{7}{3}+\frac{-15-1}{2}}+3$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{3}}{\frac{7}{3}+\frac{-15-1}{2}}+3$$

Subtract 1 from -15 to get -16.

$$\frac{\frac{7}{3}}{\frac{7}{3}+\frac{-16}{2}}+3$$

Divide -16 by 2 to get -8.

$$\frac{\frac{7}{3}}{\frac{7}{3}-8}+3$$

Convert 8 to fraction \frac{24}{3}.

$$\frac{\frac{7}{3}}{\frac{7}{3}-\frac{24}{3}}+3$$

Since \frac{7}{3} and \frac{24}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{7}{3}}{\frac{7-24}{3}}+3$$

Subtract 24 from 7 to get -17.

$$\frac{\frac{7}{3}}{-\frac{17}{3}}+3$$

Divide \frac{7}{3} by -\frac{17}{3} by multiplying \frac{7}{3} by the reciprocal of -\frac{17}{3}.

$$\frac{7}{3}\left(-\frac{3}{17}\right)+3$$

Multiply \frac{7}{3} times -\frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-3\right)}{3\times 17}+3$$

Do the multiplications in the fraction \frac{7\left(-3\right)}{3\times 17}.

$$\frac{-21}{51}+3$$

Reduce the fraction \frac{-21}{51} to lowest terms by extracting and canceling out 3.

$$-\frac{7}{17}+3$$

Convert 3 to fraction \frac{51}{17}.

$$-\frac{7}{17}+\frac{51}{17}$$

Since -\frac{7}{17} and \frac{51}{17} have the same denominator, add them by adding their numerators.

$$\frac{-7+51}{17}$$

Add -7 and 51 to get 44.

$$\frac{44}{17}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{17} = 2\frac{10}{17} = 2.588235294117647$$