Solve 8/5div(1-1/8)

$$\frac { 8 } { 5 } \div ( 1 - \frac { 1 } { 8 } )$$

Evaluate

$$\frac{64}{35}\approx 1.828571429$$

Solution Steps

Convert 1 to fraction \frac{8}{8}.

$$\frac{\frac{8}{5}}{\frac{8}{8}-\frac{1}{8}}$$

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

$$\frac{\frac{8}{5}}{\frac{8-1}{8}}$$

Subtract 1 from 8 to get 7.

$$\frac{\frac{8}{5}}{\frac{7}{8}}$$

Divide \frac{8}{5} by \frac{7}{8} by multiplying \frac{8}{5} by the reciprocal of \frac{7}{8}.

$$\frac{8}{5}\times \frac{8}{7}$$

Multiply \frac{8}{5} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 8}{5\times 7}$$

Do the multiplications in the fraction \frac{8\times 8}{5\times 7}.

$$\frac{64}{35}$$

Factor

$$\frac{2 ^ {6}}{5 \cdot 7} = 1\frac{29}{35} = 1.8285714285714285$$