Solve 2/7{frac{4/15}}

$$\frac{ 2 }{ \frac{ 7 }{ \frac{ 4 }{ 15 } } }$$

Evaluate

$$\frac{8}{105}\approx 0.076190476$$

Solution Steps

Divide 2 by \frac{7}{\frac{4}{15}} by multiplying 2 by the reciprocal of \frac{7}{\frac{4}{15}}.

$$\frac{2\times \frac{4}{15}}{7}$$

Express 2\times \frac{4}{15} as a single fraction.

$$\frac{\frac{2\times 4}{15}}{7}$$

Multiply 2 and 4 to get 8.

$$\frac{\frac{8}{15}}{7}$$

Express \frac{\frac{8}{15}}{7} as a single fraction.

$$\frac{8}{15\times 7}$$

Multiply 15 and 7 to get 105.

$$\frac{8}{105}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5 \cdot 7} = 0.0761904761904762$$