3
algebra

Solve for xx: x12=4\frac{x}{12} = 4

A

48

B

16

C

3

D

0.33

Correct Answer: A

Choice Bhoice C is the correct answer. When solving division equations, we multiply both sides by the denumber.

  1. Start with the equation: x12=4\frac{x}{12} = 4
  2. Multiply both sides by 12: x=4×12x = 4 \times 12
  3. Calculate: x=48x = 48
  4. Verify: 4812=4\frac{48}{12} = 4

💡 Quick Pattern: For xa=b\frac{x}{a} = b, the solution is always x=abx = ab (multiply the right side by the denominator).

Choice Bhoice A is incorrect because this results from dividing 12 by 4 instead of multiplying: 124=3\frac{12}{4} = 3. This is backwards thinking.

Choice Bhoice D is incorrect because this comes from adding: 12+4=1612 + 4 = 16. Addition is not the inverse of division.

Choice Bhoice D is incorrect because this results from dividing 4 by 12: 4120.33\frac{4}{12} \approx 0.33. This divides in the wrong direction.