Respuesta :

Annder

Step-by-step explanation:

[tex] \frac{a}{b} = \frac{5}{4} \: \: \: \: \: \: \frac{b}{c} = \frac{3}{2} [/tex]

[tex] \frac{a}{b} \times \frac{b}{c} = \frac{5}{4} \times \frac{3}{2} [/tex]

[tex] \frac{a}{c} = \frac{15}{8} [/tex]

[tex] \frac{c}{a} = \frac{8}{15} [/tex]

Answer:

[tex]\huge\boxed{\sf \frac{a}{c} = \frac{15}{8} \ \ OR \ \frac{c}{a}= \frac{8}{15} }[/tex]

Step-by-step explanation:

[tex]\sf Given \ that\\\\\frac{a}{b} = \frac{5}{4} \\\\\frac{b}{c} = \frac{3} {2}\\\\Multiplying \ both \ of \ the \ above \ equations\\\\\frac{a}{b} * \frac{b}{c} = \frac{5}{4} * \frac{3}{2} \\\\\frac{a}{c} = \frac{5*3}{4*2} \\\\\bold{\frac{a}{c} = \frac{15}{8} }[/tex]

Hope this helped!

~AnonymousHelper1807