Solve 1-14/1-1{1-frac{1/2}}

$$1 - \frac { 14 } { 1 - \frac { 1 } { 1 - \frac { 1 } { 2 } } }$$

Evaluate

$$15$$

Solution Steps

Convert 1 to fraction \frac{2}{2}.

$$1-\frac{14}{1-\frac{1}{\frac{2}{2}-\frac{1}{2}}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$1-\frac{14}{1-\frac{1}{\frac{2-1}{2}}}$$

Subtract 1 from 2 to get 1.

$$1-\frac{14}{1-\frac{1}{\frac{1}{2}}}$$

Divide 1 by \frac{1}{2} by multiplying 1 by the reciprocal of \frac{1}{2}.

$$1-\frac{14}{1-1\times 2}$$

Multiply 1 and 2 to get 2.

$$1-\frac{14}{1-2}$$

Subtract 2 from 1 to get -1.

$$1-\frac{14}{-1}$$

Fraction \frac{14}{-1} can be rewritten as -14 by extracting the negative sign.

$$1-\left(-14\right)$$

The opposite of -14 is 14.

$$1+14$$

Add 1 and 14 to get 15.

$$15$$

Factor

$$3\times 5$$