Question

do \\(\frac{3\frac{7}{8}}{1.5}\\) and \\(\frac{3\frac{1}{10}}{1.2}\\) form a proportion?

\\(\circ\\) yes

\\(\circ\\) no

Explanation:

Step1: Convert mixed numbers to fractions

$3\frac{7}{8} = \frac{3\times8 + 7}{8} = \frac{31}{8}$, $3\frac{1}{10} = \frac{3\times10 + 1}{10} = \frac{31}{10}$

Step2: Rewrite complex fractions

$\frac{\frac{31}{8}}{1.5} = \frac{31}{8\times1.5} = \frac{31}{12}$, $\frac{\frac{31}{10}}{1.2} = \frac{31}{10\times1.2} = \frac{31}{12}$

Step3: Compare the two values

Both simplify to $\frac{31}{12}$, so they are equal.

Answer:

yes