Question

a:b=2:3 b:c=4:5 then a:c=

Answer 1

a:c is equal to 8:15.

In the question, it is given that the ratio of a to b is 2:3 and that of b to c is 4:5. With this information we have to calculate a:c.

Let’s see, how can we do it.

$\begin{array}{l}{\Rightarrow \frac{a}{b}=\frac{2}{3}-(i)} \\ \\ {\Rightarrow \frac{b}{c}=\frac{4}{5}-(i i)}\end{array}$

By multiplying the equation (i) and (ii), we get,

$\Rightarrow \frac{a}{b} \times \frac{b}{c}=\frac{a}{c}=\frac{2}{3} \times \frac{4}{5}=\frac{8}{15}$

Therefore, a:c is equal to 8:15.

We have used the concept ratio and proportions here. It is a simple way to solve questions involving ratio. Other questions that involve ratio in it can be solved in the similar manner.

Answer 2

Answer:

$a:c = 8:15$

Step-by-step explanation:

$Given \: a:b=2:3\: and \: b:c = 4:5$

$\implies \frac{a}{b}=\frac{2}{3} \:---(1)$

$\implies \frac{b}{c}=\frac{4}{5} \:---(2)$

/* Multiply equations (1) and (2), we get

$\implies \frac{a}{b}\times \frac{b}{c}= \frac{2}{3}\times \frac{4}{5}$

$\implies \frac{a}{c}= \frac{8}{15}$

Therefore,

$a:c = 8:15$

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