Solve -25/6div31/2

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

Evaluate

$$-\frac{17}{21}\approx -0.80952381$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{-\frac{12+5}{6}}{\frac{3\times 2+1}{2}}$$

Add 12 and 5 to get 17.

$$\frac{-\frac{17}{6}}{\frac{3\times 2+1}{2}}$$

Multiply 3 and 2 to get 6.

$$\frac{-\frac{17}{6}}{\frac{6+1}{2}}$$

Add 6 and 1 to get 7.

$$\frac{-\frac{17}{6}}{\frac{7}{2}}$$

Divide -\frac{17}{6} by \frac{7}{2} by multiplying -\frac{17}{6} by the reciprocal of \frac{7}{2}.

$$-\frac{17}{6}\times \frac{2}{7}$$

Multiply -\frac{17}{6} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-17\times 2}{6\times 7}$$

Do the multiplications in the fraction \frac{-17\times 2}{6\times 7}.

$$\frac{-34}{42}$$

Reduce the fraction \frac{-34}{42} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{21}$$

Factor

$$-\frac{17}{21} = -0.8095238095238095$$