Question

Simplify the expression. $$\frac{8 x}{3} \cdot \frac{1}{x}$$

Short answer

The simplified form of the expression \( \frac{8 x}{3} \cdot \frac{1}{x} \) is \( \frac{8}{3} \)

Step-by-step solution

Identify the common factors

Firstly, identify the similar factors in the numerator and denominator. Here, 'x' is a common factor in the numerator of the first fraction and the denominator of the second fraction.

Cancel out the common factor

Next, cancel out the common factor 'x' from the numerator of the first fraction and the denominator of the second fraction. We are allowed to do that because multiplying by 1 doesn't affect the value of the expression.

Simplify the expression

After cancelling out the common factor, The expression simplifies to \( \frac{8}{3} \). Thus, \( \frac{8 x}{3} \cdot \frac{1}{x} \) simplifies to \( \frac{8}{3} \).