do the ratios \$\\frac{5}{7}\$ and \$\\frac{1}{2}\$ form a pro\ \ \…

$do the ratios \$\\frac{5}{7}\$ and \$\\frac{1}{2}\$ form a pro\ \ \…$

do the ratios \$\frac{5}{7}\$ and \$\frac{1}{2}\$ form a pro\
\
\boxed{yes} \boxed{no}

A proportion is when two ratios are equal, i.e., $\frac{a}{b}=\frac{c}{d}$ if $a\times d = b\times c$.
Here, $a = 5$, $b = 7$, $c = 1$, $d = 2$.

Calculate $a\times d$: $5\times2 = 10$.
Calculate $b\times c$: $7\times1 = 7$.
Since $10
eq7$, the ratios are not equal.

no