Answer :
Answer:
[tex]\frac{a}{m} : \frac{b}{n}[/tex] = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
a : b = 3 : 1
And m : n = 2 : 5
So , [tex]\frac{a}{m}[/tex] : [tex]\frac{b}{n}[/tex]
Let a =3x And b = x
Similarly m =2y And n = 5y
So, [tex]\frac{3x}{2y}[/tex] : [tex]\frac{x}{5y}[/tex]
Or, [tex]\frac{a}{m}[/tex] : [tex]\frac{b}{n}[/tex] = [tex]\frac{3x \times 5y}{2y \times x}[/tex]
Or, [tex]\frac{3x}{2y}[/tex] : [tex]\frac{x}{5y}[/tex] = [tex]\frac{15xy}{2xy}[/tex]
Hence , [tex]\frac{3x}{2y}[/tex] : [tex]\frac{x}{5y}[/tex] = [tex]\frac{15}{2}[/tex] Answer