Solve 4/5{frac{11/13}}

$$\frac{ 4 }{ \frac{ 5 }{ \frac{ 11 }{ 13 } } }$$

Evaluate

$$\frac{44}{65}\approx 0.676923077$$

Solution Steps

Divide 4 by \frac{5}{\frac{11}{13}} by multiplying 4 by the reciprocal of \frac{5}{\frac{11}{13}}.

$$\frac{4\times \frac{11}{13}}{5}$$

Express 4\times \frac{11}{13} as a single fraction.

$$\frac{\frac{4\times 11}{13}}{5}$$

Multiply 4 and 11 to get 44.

$$\frac{\frac{44}{13}}{5}$$

Express \frac{\frac{44}{13}}{5} as a single fraction.

$$\frac{44}{13\times 5}$$

Multiply 13 and 5 to get 65.

$$\frac{44}{65}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{5 \cdot 13} = 0.676923076923077$$