Solve -5+2/6-frac{1{3}})div5/3

$$- 5 + \frac { 2 } { 6 - \frac { 1 } { 3 } } ) \div \frac { 5 } { 3 }$$

Evaluate

$$-\frac{79}{17}\approx -4.647058824$$

Solution Steps

Convert 6 to fraction \frac{18}{3}.

$$-5+\frac{2}{\frac{18}{3}-\frac{1}{3}}$$

Since \frac{18}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$-5+\frac{2}{\frac{18-1}{3}}$$

Subtract 1 from 18 to get 17.

$$-5+\frac{2}{\frac{17}{3}}$$

Divide 2 by \frac{17}{3} by multiplying 2 by the reciprocal of \frac{17}{3}.

$$-5+2\times \frac{3}{17}$$

Express 2\times \frac{3}{17} as a single fraction.

$$-5+\frac{2\times 3}{17}$$

Multiply 2 and 3 to get 6.

$$-5+\frac{6}{17}$$

Convert -5 to fraction -\frac{85}{17}.

$$-\frac{85}{17}+\frac{6}{17}$$

Since -\frac{85}{17} and \frac{6}{17} have the same denominator, add them by adding their numerators.

$$\frac{-85+6}{17}$$

Add -85 and 6 to get -79.

$$-\frac{79}{17}$$

Factor

$$-\frac{79}{17} = -4\frac{11}{17} = -4.647058823529412$$