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

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

Evaluate

$$-3$$

Solution Steps

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

$$4\left(\frac{2}{4}-\frac{1}{4}-1\right)$$

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

$$4\left(\frac{2-1}{4}-1\right)$$

Subtract 1 from 2 to get 1.

$$4\left(\frac{1}{4}-1\right)$$

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

$$4\left(\frac{1}{4}-\frac{4}{4}\right)$$

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

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

Subtract 4 from 1 to get -3.

$$4\left(-\frac{3}{4}\right)$$

Cancel out 4 and 4.

$$-3$$

Factor

$$-3$$