Solve 1-1/1-frac{1{4}}

$$1 - \frac { 1 } { 1 - \frac { 1 } { 4 } }$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$1-\frac{1}{\frac{4}{4}-\frac{1}{4}}$$

Since \frac{4}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$1-\frac{1}{\frac{4-1}{4}}$$

Subtract 1 from 4 to get 3.

$$1-\frac{1}{\frac{3}{4}}$$

Divide 1 by \frac{3}{4} by multiplying 1 by the reciprocal of \frac{3}{4}.

$$1-1\times \frac{4}{3}$$

Multiply 1 and \frac{4}{3} to get \frac{4}{3}.

$$1-\frac{4}{3}$$

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{3}{3} and \frac{4}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 3 to get -1.

$$-\frac{1}{3}$$

Factor

$$-\frac{1}{3} = -0.3333333333333333$$