Solve 2/3*96+21/2-3div2

$$\frac { 2 } { 3 } \times 96 + 2 \frac { 1 } { 2 } - 3 \div 2$$

Evaluate

$$65$$

Solution Steps

Express \frac{2}{3}\times 96 as a single fraction.

$$\frac{2\times 96}{3}+\frac{2\times 2+1}{2}-\frac{3}{2}$$

Multiply 2 and 96 to get 192.

$$\frac{192}{3}+\frac{2\times 2+1}{2}-\frac{3}{2}$$

Divide 192 by 3 to get 64.

$$64+\frac{2\times 2+1}{2}-\frac{3}{2}$$

Multiply 2 and 2 to get 4.

$$64+\frac{4+1}{2}-\frac{3}{2}$$

Add 4 and 1 to get 5.

$$64+\frac{5}{2}-\frac{3}{2}$$

Convert 64 to fraction \frac{128}{2}.

$$\frac{128}{2}+\frac{5}{2}-\frac{3}{2}$$

Since \frac{128}{2} and \frac{5}{2} have the same denominator, add them by adding their numerators.

$$\frac{128+5}{2}-\frac{3}{2}$$

Add 128 and 5 to get 133.

$$\frac{133}{2}-\frac{3}{2}$$

Since \frac{133}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133-3}{2}$$

Subtract 3 from 133 to get 130.

$$\frac{130}{2}$$

Divide 130 by 2 to get 65.

$$65$$

Factor

$$5\times 13$$