Solve 1/4*(-31/3)div13/7

$$\frac { 1 } { 4 } \times ( - 3 \frac { 1 } { 3 } ) \div 1 \frac { 3 } { 7 }$$

Evaluate

$$-\frac{7}{12}\approx -0.583333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{\frac{1}{4}\left(-\frac{9+1}{3}\right)}{\frac{1\times 7+3}{7}}$$

Add 9 and 1 to get 10.

$$\frac{\frac{1}{4}\left(-\frac{10}{3}\right)}{\frac{1\times 7+3}{7}}$$

Multiply \frac{1}{4} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\left(-10\right)}{4\times 3}}{\frac{1\times 7+3}{7}}$$

Do the multiplications in the fraction \frac{1\left(-10\right)}{4\times 3}.

$$\frac{\frac{-10}{12}}{\frac{1\times 7+3}{7}}$$

Reduce the fraction \frac{-10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{5}{6}}{\frac{1\times 7+3}{7}}$$

Multiply 1 and 7 to get 7.

$$\frac{-\frac{5}{6}}{\frac{7+3}{7}}$$

Add 7 and 3 to get 10.

$$\frac{-\frac{5}{6}}{\frac{10}{7}}$$

Divide -\frac{5}{6} by \frac{10}{7} by multiplying -\frac{5}{6} by the reciprocal of \frac{10}{7}.

$$-\frac{5}{6}\times \frac{7}{10}$$

Multiply -\frac{5}{6} times \frac{7}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-5\times 7}{6\times 10}$$

Do the multiplications in the fraction \frac{-5\times 7}{6\times 10}.

$$\frac{-35}{60}$$

Reduce the fraction \frac{-35}{60} to lowest terms by extracting and canceling out 5.

$$-\frac{7}{12}$$

Factor

$$-\frac{7}{12} = -0.5833333333333334$$