Solve x/2*3/2*1/2

$$\frac { x } { 2 } \times \frac { 3 } { 2 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{3x}{8}$$

Solution Steps

Multiply \frac{3}{2} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x}{2}\times \frac{3\times 1}{2\times 2}$$

Do the multiplications in the fraction \frac{3\times 1}{2\times 2}.

$$\frac{x}{2}\times \frac{3}{4}$$

Multiply \frac{x}{2} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{x\times 3}{2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{x\times 3}{8}$$

Differentiate w.r.t. x

$$\frac{3}{8} = 0.375$$