Solve 1/4-1^2+-1+6

$$\frac{ 1 }{ 4 } { -1 }^{ 2 } +-1+6$$

Evaluate

$$\frac{21}{4}=5.25$$

Solution Steps

Calculate -1 to the power of 2 and get 1.

$$\frac{1}{4}\times 1-1+6$$

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

$$\frac{1}{4}-1+6$$

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

$$\frac{1}{4}-\frac{4}{4}+6$$

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

$$\frac{1-4}{4}+6$$

Subtract 4 from 1 to get -3.

$$-\frac{3}{4}+6$$

Convert 6 to fraction \frac{24}{4}.

$$-\frac{3}{4}+\frac{24}{4}$$

Since -\frac{3}{4} and \frac{24}{4} have the same denominator, add them by adding their numerators.

$$\frac{-3+24}{4}$$

Add -3 and 24 to get 21.

$$\frac{21}{4}$$

Factor

$$\frac{3 \cdot 7}{2 ^ {2}} = 5\frac{1}{4} = 5.25$$