Solve 31/2+21/2-11/5

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

Evaluate

$$\frac{24}{5}=4.8$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{2\times 2+1}{2}-\frac{1\times 5+1}{5}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{2\times 2+1}{2}-\frac{1\times 5+1}{5}$$

Multiply 2 and 2 to get 4.

$$\frac{7}{2}+\frac{4+1}{2}-\frac{1\times 5+1}{5}$$

Add 4 and 1 to get 5.

$$\frac{7}{2}+\frac{5}{2}-\frac{1\times 5+1}{5}$$

Since \frac{7}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{7+5}{2}-\frac{1\times 5+1}{5}$$

Add 7 and 5 to get 12.

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

Divide 12 by 2 to get 6.

$$6-\frac{1\times 5+1}{5}$$

Multiply 1 and 5 to get 5.

$$6-\frac{5+1}{5}$$

Add 5 and 1 to get 6.

$$6-\frac{6}{5}$$

Convert 6 to fraction \frac{30}{5}.

$$\frac{30}{5}-\frac{6}{5}$$

Since \frac{30}{5} and \frac{6}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-6}{5}$$

Subtract 6 from 30 to get 24.

$$\frac{24}{5}$$

Factor

$$\frac{2 ^ {3} \cdot 3}{5} = 4\frac{4}{5} = 4.8$$