Solve 11/311/2-21/2

$$1 \frac { 1 } { 3 } 1 \frac { 1 } { 2 } - 2 \frac { 1 } { 2 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Multiply \frac{4}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 3 in both numerator and denominator.

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

Divide 4 by 2 to get 2.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{4}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 4 to get -1.

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

Factor

$$-\frac{1}{2} = -0.5$$