Solve 1/23-8/frac{1{23}}

$$\frac { \frac { 1 } { 23 } - 8 } { \frac { 1 } { 23 } }$$

Evaluate

$$-183$$

Solution Steps

Convert 8 to fraction \frac{184}{23}.

$$\frac{\frac{1}{23}-\frac{184}{23}}{\frac{1}{23}}$$

Since \frac{1}{23} and \frac{184}{23} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1-184}{23}}{\frac{1}{23}}$$

Subtract 184 from 1 to get -183.

$$\frac{-\frac{183}{23}}{\frac{1}{23}}$$

Divide -\frac{183}{23} by \frac{1}{23} by multiplying -\frac{183}{23} by the reciprocal of \frac{1}{23}.

$$-\frac{183}{23}\times 23$$

Cancel out 23 and 23.

$$-183$$

Factor

$$-183$$