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

User Edgerunner
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2 Answers

0 votes

Explanation:


(a)/(b) = (5)/(4) \: \: \: \: \: \: (b)/(c) = (3)/(2)


(a)/(b) * (b)/(c) = (5)/(4) * (3)/(2)


(a)/(c) = (15)/(8)


(c)/(a) = (8)/(15)

User Aurora
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4.3k points
4 votes

Answer:


\huge\boxed{\sf (a)/(c) = (15)/(8) \ \ OR \ (c)/(a)= (8)/(15) }

Explanation:


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

Hope this helped!

~AnonymousHelper1807

User Turneye
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4.7k points