Question

do these two ratios form a proportion?
\\(\frac{24}{36}\\) and \\(\frac{16}{24}\\)
drag and drop the answers into the boxes.
the ratios \\(\frac{24}{36}\\) and \\(\frac{16}{24}\\) \\(\square\\) a proportion because their simplified ratios are \\(\square\\).
options: do not form, equal, form, not equal

Explanation:

Step1: Simplify $\frac{24}{36}$

Divide numerator and denominator by GCD 12:
$\frac{24\div12}{36\div12}=\frac{2}{3}$

Step2: Simplify $\frac{16}{24}$

Divide numerator and denominator by GCD 8:
$\frac{16\div8}{24\div8}=\frac{2}{3}$

Step3: Compare simplified ratios

$\frac{2}{3}=\frac{2}{3}$, so they are equal.

Step4: Determine proportion status

Equal simplified ratios mean they form a proportion.

Answer:

The ratios $\frac{24}{36}$ and $\frac{16}{24}$ $\boldsymbol{form}$ a proportion because their simplified ratios are $\boldsymbol{equal}$