Math Problem Statement

3/2=x/12

Solution

To solve the equation 32=x12\frac{3}{2} = \frac{x}{12}, we can use cross-multiplication.

Cross-multiplying gives: 3×12=2×x3 \times 12 = 2 \times x

This simplifies to: 36=2x36 = 2x

Now, solve for xx by dividing both sides of the equation by 2: x=362=18x = \frac{36}{2} = 18

Thus, x=18x = 18.

Do you want more details, or do you have any questions?

Here are 5 related questions:

  1. How do you cross-multiply to solve for a variable in a fraction?
  2. What happens when both sides of an equation have fractions?
  3. Can you solve 45=y20\frac{4}{5} = \frac{y}{20} using the same method?
  4. How would you verify if your solution for xx is correct?
  5. What are some real-world applications of solving proportions?

Tip: Always double-check your solution by substituting the value of the variable back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Proportions
Cross-Multiplication
Linear Equations

Formulas

Cross-multiplication: a/b = c/d implies a * d = b * c

Theorems

Proportion Theorem: In a proportion, the product of the means equals the product of the extremes

Suitable Grade Level

Grades 6-8