Solve (13.)(6/7)(-56/36)=

$$( 13 . ) ( \frac { 6 } { 7 } ) ( \frac { - 56 } { 36 } ) =$$

Evaluate

$$-\frac{52}{3}\approx -17.333333333$$

Solution Steps

Express 13\times \frac{6}{7} as a single fraction.

$$\frac{13\times 6}{7}\times \frac{-56}{36}$$

Multiply 13 and 6 to get 78.

$$\frac{78}{7}\times \frac{-56}{36}$$

Reduce the fraction \frac{-56}{36} to lowest terms by extracting and canceling out 4.

$$\frac{78}{7}\left(-\frac{14}{9}\right)$$

Multiply \frac{78}{7} times -\frac{14}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{78\left(-14\right)}{7\times 9}$$

Do the multiplications in the fraction \frac{78\left(-14\right)}{7\times 9}.

$$\frac{-1092}{63}$$

Reduce the fraction \frac{-1092}{63} to lowest terms by extracting and canceling out 21.

$$-\frac{52}{3}$$

Factor

$$-\frac{52}{3} = -17\frac{1}{3} = -17.333333333333332$$