Solve 33/4+21/4-11/2

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

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}+\frac{2\times 4+1}{4}-\frac{1\times 2+1}{2}$$

Multiply 2 and 4 to get 8.

$$\frac{15}{4}+\frac{8+1}{4}-\frac{1\times 2+1}{2}$$

Add 8 and 1 to get 9.

$$\frac{15}{4}+\frac{9}{4}-\frac{1\times 2+1}{2}$$

Since \frac{15}{4} and \frac{9}{4} have the same denominator, add them by adding their numerators.

$$\frac{15+9}{4}-\frac{1\times 2+1}{2}$$

Add 15 and 9 to get 24.

$$\frac{24}{4}-\frac{1\times 2+1}{2}$$

Divide 24 by 4 to get 6.

$$6-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$6-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$6-\frac{3}{2}$$

Convert 6 to fraction \frac{12}{2}.

$$\frac{12}{2}-\frac{3}{2}$$

Since \frac{12}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-3}{2}$$

Subtract 3 from 12 to get 9.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$