Solve 6/6{6/frac{3{frac{3/8}}}}

$$\frac{ 6 }{ \frac{ 6 }{ \frac{ 6 }{ \frac{ 3 }{ \frac{ 3 }{ 8 } } } } }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Divide 6 by \frac{6}{\frac{6}{\frac{3}{\frac{3}{8}}}} by multiplying 6 by the reciprocal of \frac{6}{\frac{6}{\frac{3}{\frac{3}{8}}}}.

$$\frac{6\times \frac{6}{\frac{3}{\frac{3}{8}}}}{6}$$

Cancel out 6 and 6.

$$\frac{6}{\frac{3}{\frac{3}{8}}}$$

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

$$\frac{6}{3\times \frac{8}{3}}$$

Cancel out 3 and 3.

$$\frac{6}{8}$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$