Solve 2/396+21/2-3

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

Evaluate

$$\frac{127}{2}=63.5$$

Solution Steps

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

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

Multiply 2 and 96 to get 192.

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

Divide 192 by 3 to get 64.

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

Multiply 2 and 2 to get 4.

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

Add 4 and 1 to get 5.

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

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

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

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

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

Add 128 and 5 to get 133.

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

Convert 3 to fraction \frac{6}{2}.

$$\frac{133}{2}-\frac{6}{2}$$

Since \frac{133}{2} and \frac{6}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{133-6}{2}$$

Subtract 6 from 133 to get 127.

$$\frac{127}{2}$$

Factor

$$\frac{127}{2} = 63\frac{1}{2} = 63.5$$