Solve (21/5)(-13/7)

$$( 2 \frac { 1 } { 5 } ) ( - 1 \frac { 3 } { 7 } )$$

Evaluate

$$-\frac{22}{7}\approx -3.142857143$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+1}{5}\left(-\frac{1\times 7+3}{7}\right)$$

Add 10 and 1 to get 11.

$$\frac{11}{5}\left(-\frac{1\times 7+3}{7}\right)$$

Multiply 1 and 7 to get 7.

$$\frac{11}{5}\left(-\frac{7+3}{7}\right)$$

Add 7 and 3 to get 10.

$$\frac{11}{5}\left(-\frac{10}{7}\right)$$

Multiply \frac{11}{5} times -\frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\left(-10\right)}{5\times 7}$$

Do the multiplications in the fraction \frac{11\left(-10\right)}{5\times 7}.

$$\frac{-110}{35}$$

Reduce the fraction \frac{-110}{35} to lowest terms by extracting and canceling out 5.

$$-\frac{22}{7}$$

Factor

$$-\frac{22}{7} = -3\frac{1}{7} = -3.142857142857143$$