Solve 1/2-2*25+1/4

$$\frac { 1 } { 2 } - 2 \cdot 25 + \frac { 1 } { 4 }$$

Evaluate

$$-\frac{197}{4}=-49.25$$

Solution Steps

Multiply 2 and 25 to get 50.

$$\frac{1}{2}-50+\frac{1}{4}$$

Convert 50 to fraction \frac{100}{2}.

$$\frac{1}{2}-\frac{100}{2}+\frac{1}{4}$$

Since \frac{1}{2} and \frac{100}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-100}{2}+\frac{1}{4}$$

Subtract 100 from 1 to get -99.

$$-\frac{99}{2}+\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert -\frac{99}{2} and \frac{1}{4} to fractions with denominator 4.

$$-\frac{198}{4}+\frac{1}{4}$$

Since -\frac{198}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{-198+1}{4}$$

Add -198 and 1 to get -197.

$$-\frac{197}{4}$$

Factor

$$-\frac{197}{4} = -49\frac{1}{4} = -49.25$$