Respuesta :

Answer

value of n=4

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:

  • 10.6=60

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!