Solve =31/4-81/4-21/2

$$= 3 \frac { 1 } { 4 } - 8 \frac { 1 } { 4 } - 2 \frac { 1 } { 2 }$$

Evaluate

$$-\frac{15}{2}=-7.5$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}-\frac{8\times 4+1}{4}-\frac{2\times 2+1}{2}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}-\frac{8\times 4+1}{4}-\frac{2\times 2+1}{2}$$

Multiply 8 and 4 to get 32.

$$\frac{13}{4}-\frac{32+1}{4}-\frac{2\times 2+1}{2}$$

Add 32 and 1 to get 33.

$$\frac{13}{4}-\frac{33}{4}-\frac{2\times 2+1}{2}$$

Since \frac{13}{4} and \frac{33}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-33}{4}-\frac{2\times 2+1}{2}$$

Subtract 33 from 13 to get -20.

$$\frac{-20}{4}-\frac{2\times 2+1}{2}$$

Divide -20 by 4 to get -5.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Convert -5 to fraction -\frac{10}{2}.

$$-\frac{10}{2}-\frac{5}{2}$$

Since -\frac{10}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-5}{2}$$

Subtract 5 from -10 to get -15.

$$-\frac{15}{2}$$

Factor

$$-\frac{15}{2} = -7\frac{1}{2} = -7.5$$