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

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

Evaluate

$$\frac{25}{9}\approx 2.777777778$$

Solution Steps

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

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

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

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

Multiply 5 and 5 to get 25.

$$\frac{\frac{25}{3}}{3}$$

Express \frac{\frac{25}{3}}{3} as a single fraction.

$$\frac{25}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{25}{9}$$

Factor

$$\frac{5 ^ {2}}{3 ^ {2}} = 2\frac{7}{9} = 2.7777777777777777$$