Question

if a:b = 3:4 and b:c = 6:5 then a:c =?

Answer 1

Heya mate !!

YOUR ANSWER IS => 3 : 5

Hope it helps u !!

Answer 2

If a : b = 3 : 4 and b : c = 6 : 5 then a : c = 9 : 10

Solution:

Given that a : b = 3 : 4 and b : c = 6 : 5

To find: a: c = ?

We know that,

Ratio a : b can be written in fraction as $\frac{a}{b}$

By above definition,

a : b = 3 : 4

Then,

$\frac{a}{b} = \frac{3}{4}$ ---- eqn 1

Also given that,

b : c = 6 : 5

$\frac{b}{c} = \frac{6}{5}$ ------ eqn 2

Multiply eqn 1 and eqn 2

$\frac{a}{b} \times \frac{b}{c} = \frac{3}{4} \times \frac{6}{5}\\\\\frac{a}{c} =\frac{3}{4} \times \frac{6}{5}\\\\\frac{a}{c} = \frac{9}{10}$

Therefore a: c = 9 : 10

Learn more about ratios

If A:B= 3:4 and B:C= 6:7, find:(1) A:B:C (2) A:C

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If A:B=3:4 and B:C=5:6,then A:C is

(a) 5:9

(b) 3:4

(c)1:2

(d) 5:8

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