Solve frac{5sqrt{36}}{2}+3(4)/4-3/2

$$\frac { 5 \sqrt { 36 } } { 2 } + \frac { 3 ( 4 ) } { 4 } - \frac { 3 } { 2 }$$

Evaluate

$$\frac{33}{2}=16.5$$

Solution Steps

Calculate the square root of 36 and get 6.

$$\frac{5\times 6}{2}+\frac{3\times 4}{4}-\frac{3}{2}$$

Multiply 5 and 6 to get 30.

$$\frac{30}{2}+\frac{3\times 4}{4}-\frac{3}{2}$$

Divide 30 by 2 to get 15.

$$15+\frac{3\times 4}{4}-\frac{3}{2}$$

Cancel out 4 and 4.

$$15+3-\frac{3}{2}$$

Add 15 and 3 to get 18.

$$18-\frac{3}{2}$$

Convert 18 to fraction \frac{36}{2}.

$$\frac{36}{2}-\frac{3}{2}$$

Since \frac{36}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{36-3}{2}$$

Subtract 3 from 36 to get 33.

$$\frac{33}{2}$$

Factor

$$\frac{3 \cdot 11}{2} = 16\frac{1}{2} = 16.5$$