Solve 1/6-frac{1{8}+8}

$$\frac { 1 } { 6 - \frac { 1 } { 8 } + 8 }$$

Evaluate

$$\frac{8}{111}\approx 0.072072072$$

Solution Steps

Convert 6 to fraction \frac{48}{8}.

$$\frac{1}{\frac{48}{8}-\frac{1}{8}+8}$$

Since \frac{48}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{48-1}{8}+8}$$

Subtract 1 from 48 to get 47.

$$\frac{1}{\frac{47}{8}+8}$$

Convert 8 to fraction \frac{64}{8}.

$$\frac{1}{\frac{47}{8}+\frac{64}{8}}$$

Since \frac{47}{8} and \frac{64}{8} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{47+64}{8}}$$

Add 47 and 64 to get 111.

$$\frac{1}{\frac{111}{8}}$$

Divide 1 by \frac{111}{8} by multiplying 1 by the reciprocal of \frac{111}{8}.

$$1\times \frac{8}{111}$$

Multiply 1 and \frac{8}{111} to get \frac{8}{111}.

$$\frac{8}{111}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 37} = 0.07207207207207207$$