Question

which statement is not true about the pattern shown?
\\(\frac{2}{3}, \frac{4}{6}, \frac{8}{12}, \frac{16}{24}, dots\\)

• each fraction is greater than the previous fraction.
• each fraction is equal to the previous fraction in the pattern multiplied by \\(\frac{2}{2}\\).
• each fraction is equivalent to \\(\frac{2}{3}\\).
• the next fraction in the pattern is \\(\frac{32}{48}\\).

Explanation:

Step1: Simplify each fraction

$\frac{2}{3} = \frac{2}{3}$, $\frac{4}{6} = \frac{2}{3}$, $\frac{8}{12} = \frac{2}{3}$, $\frac{16}{24} = \frac{2}{3}$

Step2: Analyze Option 1

All fractions equal $\frac{2}{3}$, so no fraction is greater than the prior one.

Step3: Analyze Option 2

Multiply $\frac{2}{3}$ by $\frac{2}{2}$: $\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}$, which matches the pattern. This holds for all terms.

Step4: Analyze Option 3

As shown in Step1, every fraction simplifies to $\frac{2}{3}$, so they are equivalent.

Step5: Analyze Option 4

Multiply the last term $\frac{16}{24}$ by $\frac{2}{2}$: $\frac{16}{24} \times \frac{2}{2} = \frac{32}{48}$, which is the next term.

Answer:

A. Each fraction is greater than the previous fraction.