Solve 1/4div(1-1/2-1/4)

$$\frac { 1 } { 4 } \div ( 1 - \frac { 1 } { 2 } - \frac { 1 } { 4 } )$$

Evaluate

$$1$$

Solution Steps

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

$$\frac{\frac{1}{4}}{\frac{2}{2}-\frac{1}{2}-\frac{1}{4}}$$

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

$$\frac{\frac{1}{4}}{\frac{2-1}{2}-\frac{1}{4}}$$

Subtract 1 from 2 to get 1.

$$\frac{\frac{1}{4}}{\frac{1}{2}-\frac{1}{4}}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{\frac{1}{4}}{\frac{2}{4}-\frac{1}{4}}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{4}}{\frac{2-1}{4}}$$

Subtract 1 from 2 to get 1.

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

Divide \frac{1}{4} by \frac{1}{4} to get 1.

$$1$$

Factor

$$1$$