Solve 3/7{frac{2/8}}

$$\frac{ 3 }{ \frac{ 7 }{ \frac{ 2 }{ 8 } } }$$

Evaluate

$$\frac{3}{28}\approx 0.107142857$$

Solution Steps

Divide 3 by \frac{7}{\frac{2}{8}} by multiplying 3 by the reciprocal of \frac{7}{\frac{2}{8}}.

$$\frac{3\times \frac{2}{8}}{7}$$

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3\times \frac{1}{4}}{7}$$

Multiply 3 and \frac{1}{4} to get \frac{3}{4}.

$$\frac{\frac{3}{4}}{7}$$

Express \frac{\frac{3}{4}}{7} as a single fraction.

$$\frac{3}{4\times 7}$$

Multiply 4 and 7 to get 28.

$$\frac{3}{28}$$

Factor

$$\frac{3}{2 ^ {2} \cdot 7} = 0.10714285714285714$$