Solve -46/7:(-52/3)=

$$- 4 \frac { 6 } { 7 } : ( - 5 \frac { 2 } { 3 } ) =$$

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{-\frac{28+6}{7}}{-\frac{5\times 3+2}{3}}$$

Add 28 and 6 to get 34.

$$\frac{-\frac{34}{7}}{-\frac{5\times 3+2}{3}}$$

Multiply 5 and 3 to get 15.

$$\frac{-\frac{34}{7}}{-\frac{15+2}{3}}$$

Add 15 and 2 to get 17.

$$\frac{-\frac{34}{7}}{-\frac{17}{3}}$$

Divide -\frac{34}{7} by -\frac{17}{3} by multiplying -\frac{34}{7} by the reciprocal of -\frac{17}{3}.

$$-\frac{34}{7}\left(-\frac{3}{17}\right)$$

Multiply -\frac{34}{7} times -\frac{3}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-34\left(-3\right)}{7\times 17}$$

Do the multiplications in the fraction \frac{-34\left(-3\right)}{7\times 17}.

$$\frac{102}{119}$$

Reduce the fraction \frac{102}{119} to lowest terms by extracting and canceling out 17.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$