Question

if a:b = 4 :5 and b:c =6:9 , find a:b:c


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Answer 1

See given ,

a : b = 4 : 5 i.e.,

$\frac{a}{b} = \frac{4}{5}$

and, b : c = 6 : 9 i.e.,

$\frac{b}{c} = \frac{6}{9}$

So to get a : b : c we need make a : b and b : c equivalent.

We can do so by equalizing b in both the ratios. This can be done by taking lcm of both values of b which is 30 ( lcm of 5 and 6 )

Now, we have

$\frac{a}{b} = \frac{4}{5} = \frac{24}{30}$

and

$\frac{b}{c} = \frac{6}{9} = \frac{30}{45}$

Thus , we have

a : b : c = 24 : 30 : 45

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Answer 2

Answer:

Here is the correct answer of your question.☝️

Hope this helps you.