Solve 23/7:(-52/14)

$$2 \frac { 3 } { 7 } : ( - 5 \frac { 2 } { 14 } )$$

Evaluate

$$-\frac{17}{36}\approx -0.472222222$$

Solution Steps

Multiply 2 and 7 to get 14.

$$\frac{\frac{14+3}{7}}{-\frac{5\times 14+2}{14}}$$

Add 14 and 3 to get 17.

$$\frac{\frac{17}{7}}{-\frac{5\times 14+2}{14}}$$

Multiply 5 and 14 to get 70.

$$\frac{\frac{17}{7}}{-\frac{70+2}{14}}$$

Add 70 and 2 to get 72.

$$\frac{\frac{17}{7}}{-\frac{72}{14}}$$

Reduce the fraction \frac{72}{14} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{17}{7}}{-\frac{36}{7}}$$

Divide \frac{17}{7} by -\frac{36}{7} by multiplying \frac{17}{7} by the reciprocal of -\frac{36}{7}.

$$\frac{17}{7}\left(-\frac{7}{36}\right)$$

Multiply \frac{17}{7} times -\frac{7}{36} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\left(-7\right)}{7\times 36}$$

Do the multiplications in the fraction \frac{17\left(-7\right)}{7\times 36}.

$$\frac{-119}{252}$$

Reduce the fraction \frac{-119}{252} to lowest terms by extracting and canceling out 7.

$$-\frac{17}{36}$$

Factor

$$-\frac{17}{36} = -0.4722222222222222$$