Solve 11/9*11/10

$$1 \frac { 1 } { 9 } \times 1 \frac { 1 } { 10 }$$

Evaluate

$$\frac{11}{9}\approx 1.222222222$$

Solution Steps

Multiply 1 and 9 to get 9.

$$\frac{9+1}{9}\times \frac{1\times 10+1}{10}$$

Add 9 and 1 to get 10.

$$\frac{10}{9}\times \frac{1\times 10+1}{10}$$

Multiply 1 and 10 to get 10.

$$\frac{10}{9}\times \frac{10+1}{10}$$

Add 10 and 1 to get 11.

$$\frac{10}{9}\times \frac{11}{10}$$

Multiply \frac{10}{9} times \frac{11}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 11}{9\times 10}$$

Cancel out 10 in both numerator and denominator.

$$\frac{11}{9}$$

Factor

$$\frac{11}{3 ^ {2}} = 1\frac{2}{9} = 1.2222222222222223$$