Solve 5/3{frac{2/6}}

$$\frac{ 5 }{ \frac{ 3 }{ \frac{ 2 }{ 6 } } }$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Divide 5 by \frac{3}{\frac{2}{6}} by multiplying 5 by the reciprocal of \frac{3}{\frac{2}{6}}.

$$\frac{5\times \frac{2}{6}}{3}$$

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

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

Multiply 5 and \frac{1}{3} to get \frac{5}{3}.

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

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

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

Multiply 3 and 3 to get 9.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$