Solve 21/4-(-11/2)

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

Evaluate

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

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+1}{4}-\left(-\frac{1\times 2+1}{2}\right)$$

Add 8 and 1 to get 9.

$$\frac{9}{4}-\left(-\frac{1\times 2+1}{2}\right)$$

Multiply 1 and 2 to get 2.

$$\frac{9}{4}-\left(-\frac{2+1}{2}\right)$$

Add 2 and 1 to get 3.

$$\frac{9}{4}-\left(-\frac{3}{2}\right)$$

The opposite of -\frac{3}{2} is \frac{3}{2}.

$$\frac{9}{4}+\frac{3}{2}$$

Least common multiple of 4 and 2 is 4. Convert \frac{9}{4} and \frac{3}{2} to fractions with denominator 4.

$$\frac{9}{4}+\frac{6}{4}$$

Since \frac{9}{4} and \frac{6}{4} have the same denominator, add them by adding their numerators.

$$\frac{9+6}{4}$$

Add 9 and 6 to get 15.

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

Factor

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