Solve -51/3div42/3

$$- 5 \frac { 1 } { 3 } \div 4 \frac { 2 } { 3 }$$

Evaluate

$$-\frac{8}{7}\approx -1.142857143$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{-\frac{15+1}{3}}{\frac{4\times 3+2}{3}}$$

Add 15 and 1 to get 16.

$$\frac{-\frac{16}{3}}{\frac{4\times 3+2}{3}}$$

Multiply 4 and 3 to get 12.

$$\frac{-\frac{16}{3}}{\frac{12+2}{3}}$$

Add 12 and 2 to get 14.

$$\frac{-\frac{16}{3}}{\frac{14}{3}}$$

Divide -\frac{16}{3} by \frac{14}{3} by multiplying -\frac{16}{3} by the reciprocal of \frac{14}{3}.

$$-\frac{16}{3}\times \frac{3}{14}$$

Multiply -\frac{16}{3} times \frac{3}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-16\times 3}{3\times 14}$$

Cancel out 3 in both numerator and denominator.

$$\frac{-16}{14}$$

Reduce the fraction \frac{-16}{14} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{8}{7} = -1\frac{1}{7} = -1.1428571428571428$$