Solve 23/5*11/9

$$2 \frac { 3 } { 5 } \times 1 \frac { 1 } { 9 }$$

Evaluate

$$\frac{26}{9}\approx 2.888888889$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}\times \frac{1\times 9+1}{9}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}\times \frac{1\times 9+1}{9}$$

Multiply 1 and 9 to get 9.

$$\frac{13}{5}\times \frac{9+1}{9}$$

Add 9 and 1 to get 10.

$$\frac{13}{5}\times \frac{10}{9}$$

Multiply \frac{13}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 10}{5\times 9}$$

Do the multiplications in the fraction \frac{13\times 10}{5\times 9}.

$$\frac{130}{45}$$

Reduce the fraction \frac{130}{45} to lowest terms by extracting and canceling out 5.

$$\frac{26}{9}$$

Factor

$$\frac{2 \cdot 13}{3 ^ {2}} = 2\frac{8}{9} = 2.888888888888889$$