Step-by-step explanation:
Greetings !
Given expression
[tex] \frac{10}{n} = \frac{15}{6} [/tex]
cross multiply
apply fraction cross multiply
[tex]if \: \: \frac{a}{b} = \frac{c}{d} \: \: then \: \: a.d = b.c[/tex]
10.6=n.15
simplify:
Thus, 60=n.15
switch sides
[tex]n.15 = 60[/tex]
divide both sides by 15
[tex] \frac{n.15}{15} = \frac{60}{15} [/tex]
simplify
[tex]n = 4[/tex]
Hope it helps!