Question

If a : b = 5:6 and b:c = 9: 4, then find a : c:​

Answer 1

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Answer 2

Answer:

$\frac{a}{b} = \frac{5}{6} \\ \\ \frac{b}{c} = \frac{9}{4} \\ \\ \frac{a}{b} \times \frac{b}{c} = \frac{5 \times 9}{6 \times 4} \\ ⇒\frac{a}{c} = \frac{15}{8} \\ ⇒a:c = 15:8 \\ \\ ∴a:c = 15:8$