Solve 11/3{frac{5/3}}

$$\frac{ 11 }{ \frac{ 3 }{ \frac{ 5 }{ 3 } } }$$

Evaluate

$$\frac{55}{9}\approx 6.111111111$$

Solution Steps

Divide 11 by \frac{3}{\frac{5}{3}} by multiplying 11 by the reciprocal of \frac{3}{\frac{5}{3}}.

$$\frac{11\times \frac{5}{3}}{3}$$

Express 11\times \frac{5}{3} as a single fraction.

$$\frac{\frac{11\times 5}{3}}{3}$$

Multiply 11 and 5 to get 55.

$$\frac{\frac{55}{3}}{3}$$

Express \frac{\frac{55}{3}}{3} as a single fraction.

$$\frac{55}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{55}{9}$$

Factor

$$\frac{5 \cdot 11}{3 ^ {2}} = 6\frac{1}{9} = 6.111111111111111$$