Solve 21/2+(-31/4)

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

Evaluate

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

Solution Steps

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Multiply 3 and 4 to get 12.

$$\frac{5}{2}-\frac{12+1}{4}$$

Add 12 and 1 to get 13.

$$\frac{5}{2}-\frac{13}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{13}{4} to fractions with denominator 4.

$$\frac{10}{4}-\frac{13}{4}$$

Since \frac{10}{4} and \frac{13}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10-13}{4}$$

Subtract 13 from 10 to get -3.

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

Factor

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