Question

Simplify the expression. $$-\frac{x}{12} \div 3$$

Short answer

The simplified expression is \( -\frac{x}{36} \)

Step-by-step solution

Rewrite Division as Multiplication

Recall that dividing by a number equals multiplying by its reciprocal, hence \( -\frac{x}{12} \div 3 = -\frac{x}{12} \times \frac{1}{3} \)

Multiply the Fractions

Now, perform multiplication in the fractions, by multiplying the numerator with the numerator and the denominator with the denominator. This results in \( -\frac{x}{12} \times \frac{1}{3} = -\frac{x \times 1}{12 \times 3} \)

Simplify the Fraction

Simplify the resulting fraction by multiplying the numerator and the denominator. This gives you \( -\frac{x}{36} \)