Solve for: 1 /(1) 6 * 2 /(2) 7

Expression: $$1 \frac { 1 } { 6 } \times 2 \frac { 2 } { 7 }$$

Multiply $1$ and $6$ to get $6$.

$$\frac{6+1}{6}\times \left(\frac{2\times 7+2}{7}\right)$$

Add $6$ and $1$ to get $7$.

$$\frac{7}{6}\times \left(\frac{2\times 7+2}{7}\right)$$

Multiply $2$ and $7$ to get $14$.

$$\frac{7}{6}\times \left(\frac{14+2}{7}\right)$$

Add $14$ and $2$ to get $16$.

$$\frac{7}{6}\times \left(\frac{16}{7}\right)$$

Multiply $\frac{7}{6}$ times $\frac{16}{7}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 16}{6\times 7}$$

Cancel out $7$ in both numerator and denominator.

$$\frac{16}{6}$$

Reduce the fraction $\frac{16}{6}$ to lowest terms by extracting and canceling out $2$.

$$\frac{8}{3}$$