Solve 41/4-1/2)^2

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

Evaluate

$$\frac{15}{4}=3.75$$

Solution Steps

Multiply 4 and 4 to get 16.

$$\frac{16+1}{4}-\frac{1}{2}$$

Add 16 and 1 to get 17.

$$\frac{17}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{17}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{17}{4}-\frac{2}{4}$$

Since \frac{17}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-2}{4}$$

Subtract 2 from 17 to get 15.

$$\frac{15}{4}$$

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$