Solve 1-1/1+3{1-frac{1/4}}

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

Evaluate

$$\frac{4}{5}=0.8$$

Solution Steps

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

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

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

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

Subtract 1 from 4 to get 3.

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

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

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

Cancel out 3 and 3.

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

Add 1 and 4 to get 5.

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

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 5 to get 4.

$$\frac{4}{5}$$

Factor

$$\frac{2 ^ {2}}{5} = 0.8$$