Question

Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?

Answer 1

The original equation x/12 = 32/18 can be rewritten using the reciprocal property by flipping both sides, resulting in the equation 12/x = 18/32. To solve for x, we would then cross-multiply and simplify.

Step-by-step explanation:

To rewrite the equation x/12 = 32/18 using the reciprocal property, we need to identify that taking the reciprocal of both sides will help us isolate x. The reciprocal property implies that if a/b = c/d, then b/a = d/c. Thus, by flipping both fractions, we obtain:

Step 1: Write the original equation

x/12 = 32/18

Step 2: Apply the reciprocal property

12/x = 18/32

This is the equation rewritten using the reciprocal property. Next, to solve for x, we would typically cross-multiply and solve the resulting equation.