Question

To solve the ratio equation 4/x * x/(x-4) = 1/3, how can the expression x / (x-4) be rewritten using the least common denominator?

a. 4 / (x-4)
b. 4 / x
c. (x-4) / 4
d. x / 4

Answer 1

To solve the ratio equation 4/x * x/(x-4) = 1/3, the expression x/(x-4) can be rewritten using the least common denominator as x/(x-4).

Step-by-step explanation:

To solve the ratio equation 4/x * x/(x-4) = 1/3, we need to rewrite the expression x/(x-4) using the least common denominator. The least common denominator of x and x-4 is x(x-4). To rewrite the expression, we can multiply both the numerator and the denominator by x, giving us x^2/x(x-4). Simplifying this expression, we get x/(x-4).

Therefore, the expression x/(x-4) can be rewritten as

x/(x-4)

using the least common denominator.