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

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

Evaluate

$$\frac{8}{7}\approx 1.142857143$$

Solution Steps

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

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

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

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

Cancel out 4 and 4.

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

Multiply 4 and 2 to get 8.

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

Factor

$$\frac{2 ^ {3}}{7} = 1\frac{1}{7} = 1.1428571428571428$$