Answer:
a : c = 9 : 8
Step-by-step explanation:
Expressing the ratios in fractional form , then
[tex]\frac{a}{c}[/tex] = [tex]\frac{a}{b}[/tex] × [tex]\frac{b}{c}[/tex]
Given a : b = [tex]\frac{1}{2}[/tex] : [tex]\frac{1}{3}[/tex] ( multiply both parts by 6 to clear the fractions )
a : b = 3 : 2 and b : c = 3 : 4 , then
[tex]\frac{a}{c}[/tex] = [tex]\frac{3}{2}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{3(3)}{2(4)}[/tex] = [tex]\frac{9}{8}[/tex]
That is a : c = 9 : 8
