Solve 51/2+51/2+1/2-11/2

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

Evaluate

$$10$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}+\frac{5\times 2+1}{2}+\frac{1}{2}-\frac{1\times 2+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}+\frac{5\times 2+1}{2}+\frac{1}{2}-\frac{1\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{11}{2}+\frac{10+1}{2}+\frac{1}{2}-\frac{1\times 2+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}+\frac{11}{2}+\frac{1}{2}-\frac{1\times 2+1}{2}$$

Since \frac{11}{2} and \frac{11}{2} have the same denominator, add them by adding their numerators.

$$\frac{11+11}{2}+\frac{1}{2}-\frac{1\times 2+1}{2}$$

Add 11 and 11 to get 22.

$$\frac{22}{2}+\frac{1}{2}-\frac{1\times 2+1}{2}$$

Since \frac{22}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{22+1}{2}-\frac{1\times 2+1}{2}$$

Add 22 and 1 to get 23.

$$\frac{23}{2}-\frac{1\times 2+1}{2}$$

Multiply 1 and 2 to get 2.

$$\frac{23}{2}-\frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{23}{2}-\frac{3}{2}$$

Since \frac{23}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{23-3}{2}$$

Subtract 3 from 23 to get 20.

$$\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$10$$

Factor

$$2\times 5$$