Solve -21/6*(-11/5)

$$- 2 \frac { 1 } { 6 } \cdot ( - 1 \frac { 1 } { 5 } )$$

Evaluate

$$\frac{13}{5}=2.6$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\left(-\frac{12+1}{6}\right)\left(-\frac{1\times 5+1}{5}\right)$$

Add 12 and 1 to get 13.

$$-\frac{13}{6}\left(-\frac{5+1}{5}\right)$$

Add 5 and 1 to get 6.

$$-\frac{13}{6}\left(-\frac{6}{5}\right)$$

Multiply -\frac{13}{6} times -\frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-13\left(-6\right)}{6\times 5}$$

Do the multiplications in the fraction \frac{-13\left(-6\right)}{6\times 5}.

$$\frac{78}{30}$$

Reduce the fraction \frac{78}{30} to lowest terms by extracting and canceling out 6.

$$\frac{13}{5}$$

Factor

$$\frac{13}{5} = 2\frac{3}{5} = 2.6$$