Solve sqrt{36}+7/2-57/2

$$\sqrt { 36 } + \frac { 7 } { 2 } - 5 \frac { 7 } { 2 }$$

Evaluate

$$1$$

Solution Steps

Calculate the square root of 36 and get 6.

$$6+\frac{7}{2}-\frac{5\times 2+7}{2}$$

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

$$\frac{12}{2}+\frac{7}{2}-\frac{5\times 2+7}{2}$$

Since \frac{12}{2} and \frac{7}{2} have the same denominator, add them by adding their numerators.

$$\frac{12+7}{2}-\frac{5\times 2+7}{2}$$

Add 12 and 7 to get 19.

$$\frac{19}{2}-\frac{5\times 2+7}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{19}{2}-\frac{10+7}{2}$$

Add 10 and 7 to get 17.

$$\frac{19}{2}-\frac{17}{2}$$

Since \frac{19}{2} and \frac{17}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-17}{2}$$

Subtract 17 from 19 to get 2.

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

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$