Question

If a/b = 5/4 and b/c = 3/2, what is c/a

Answer 1

Step-by-step explanation:

$\frac{a}{b} = \frac{5}{4} \: \: \: \: \: \: \frac{b}{c} = \frac{3}{2}$

$\frac{a}{b} \times \frac{b}{c} = \frac{5}{4} \times \frac{3}{2}$

$\frac{a}{c} = \frac{15}{8}$

$\frac{c}{a} = \frac{8}{15}$

Answer 2

Answer:

$\huge\boxed{\sf \frac{a}{c} = \frac{15}{8} \ \ OR \ \frac{c}{a}= \frac{8}{15} }$

Step-by-step explanation:

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

Hope this helped!

~AnonymousHelper1807