17bgbg
17bgbg 17bgbg
  • 22-05-2021
  • Mathematics
contestada

Given that a/b = 3/5 and b/c = 3/4.
Find a : b : c

Respuesta :

Hrishii
Hrishii Hrishii
  • 22-05-2021

Answer:

a : b : c = 9 : 15 : 20

Step-by-step explanation:

Here, b is common to both the ratios. In order to find the combined ratio of a, b and c, it is required to make the b ratio same in the given ratios.

Therefore,

[tex] \frac{a}{b} = \frac{3}{5} = \frac{3 \times 3}{5 \times 3} = \frac{9}{15} \\ \\ \frac{b}{c} = \frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20} \\ \\ \implies \: a : b : c = 9 : 15 : 20[/tex]

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