a/b=2/3 and b/c = 5/8
make b equal by multiply a/b by 5 and b/c by 3
we get a/b=10/15 and b/c= 15/24
hence a/c= 10/24 ==> 5/12
answer is B

Given: \(\frac{a}{b}=\frac{2}{3}\) and \(\frac{b}{c}=\frac{5}{8}\)

This means: \(\frac{a}{b} \times \frac{b}{c} =\frac{2}{3} \times \frac{5}{8}\)

Combine to get: \(\frac{ab}{bc} =\frac{10}{24}\)

Simplify both sides: \(\frac{a}{c} =\frac{5}{12}\)

We get:
Quantity A: \(\frac{5}{12}\)

Quantity B: \(\frac{5}{6}\)

Answer: B
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