Solve 5/9div23/11

$$\frac { 5 } { 9 } \div 2 \frac { 3 } { 11 }$$

Evaluate

$$\frac{11}{45}\approx 0.244444444$$

Solution Steps

Divide \frac{5}{9} by \frac{2\times 11+3}{11} by multiplying \frac{5}{9} by the reciprocal of \frac{2\times 11+3}{11}.

$$\frac{5\times 11}{9\left(2\times 11+3\right)}$$

Multiply 5 and 11 to get 55.

$$\frac{55}{9\left(2\times 11+3\right)}$$

Multiply 2 and 11 to get 22.

$$\frac{55}{9\left(22+3\right)}$$

Add 22 and 3 to get 25.

$$\frac{55}{9\times 25}$$

Multiply 9 and 25 to get 225.

$$\frac{55}{225}$$

Reduce the fraction \frac{55}{225} to lowest terms by extracting and canceling out 5.

$$\frac{11}{45}$$

Factor

$$\frac{11}{3 ^ {2} \cdot 5} = 0.24444444444444444$$