Solve -162+21/3/1+frac{1{3}}

$$\frac{ -162+2 \frac{ 1 }{ 3 } }{ 1+ \frac{ 1 }{ 3 } }$$

Evaluate

$$-\frac{479}{4}=-119.75$$

Solution Steps

Multiply 2 and 3 to get 6.

$$\frac{-162+\frac{6+1}{3}}{1+\frac{1}{3}}$$

Add 6 and 1 to get 7.

$$\frac{-162+\frac{7}{3}}{1+\frac{1}{3}}$$

Convert -162 to fraction -\frac{486}{3}.

$$\frac{-\frac{486}{3}+\frac{7}{3}}{1+\frac{1}{3}}$$

Since -\frac{486}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-486+7}{3}}{1+\frac{1}{3}}$$

Add -486 and 7 to get -479.

$$\frac{-\frac{479}{3}}{1+\frac{1}{3}}$$

Convert 1 to fraction \frac{3}{3}.

$$\frac{-\frac{479}{3}}{\frac{3}{3}+\frac{1}{3}}$$

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

$$\frac{-\frac{479}{3}}{\frac{3+1}{3}}$$

Add 3 and 1 to get 4.

$$\frac{-\frac{479}{3}}{\frac{4}{3}}$$

Divide -\frac{479}{3} by \frac{4}{3} by multiplying -\frac{479}{3} by the reciprocal of \frac{4}{3}.

$$-\frac{479}{3}\times \frac{3}{4}$$

Multiply -\frac{479}{3} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-479\times 3}{3\times 4}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-479}{4}$$

Fraction \frac{-479}{4} can be rewritten as -\frac{479}{4} by extracting the negative sign.

$$-\frac{479}{4}$$

Factor

$$-\frac{479}{4} = -119\frac{3}{4} = -119.75$$