Question

to determine whether \\(\frac{2\frac{1}{2}}{6.5}\\) and \\(\frac{\frac{5}{8}}{1\frac{5}{8}}\\) are in a proportional relationship, write each ratio as a fraction in simplest form.\
what is \\(\frac{2\frac{1}{2}}{6.5}\\) as a fraction in simplest form?\
enter your answer in the box.

Explanation:

Step1: Convert mixed number to fraction

$2\frac{1}{2} = \frac{5}{2}$, $6.5 = \frac{13}{2}$

Step2: Rewrite ratio as fraction division

$\frac{\frac{5}{2}}{\frac{13}{2}} = \frac{5}{2} \times \frac{2}{13}$

Step3: Simplify the expression

$\frac{5 \times 2}{2 \times 13} = \frac{5}{13}$

Answer:

$\frac{5}{13}$