Solve (+21/2)+(-13/4)

$$( + 2 \frac { 1 } { 2 } ) + ( - 1 \frac { 3 } { 4 } )$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}-\frac{1\times 4+3}{4}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}-\frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{5}{2}-\frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$\frac{5}{2}-\frac{7}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{7}{4} to fractions with denominator 4.

$$\frac{10}{4}-\frac{7}{4}$$

Since \frac{10}{4} and \frac{7}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-7}{4}$$

Subtract 7 from 10 to get 3.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$