Question

If a:b=1/2:1/3 and b:c = 3:4, find a:c​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

a:c = 9:8

Step-by-step explanation:

Given,

$a:b = \dfrac{1}{2}:\dfrac{1}{3}$

$b:c = 3:4$

To Find :-

a : c ?

Solution :-

First taking "a:b"

L.C.M of 2,3 = 6 [Since, Equating the denominators]

$a:b =\bigg( \dfrac{1}{2}\times\dfrac{3}{3}\bigg):\bigg(\dfrac{1}{3}\times\dfrac{2}{2}\bigg)$

$= \dfrac{3}{6}:\dfrac{2}{6}$

$= \dfrac{3}{6}\times\dfrac{6}{2}$

$= \dfrac{3}{2}$

$= 3:2$

$\therefore a :b = 3:2$

And given, b:c = 3:4

Here we can observe two different values of 'b' so lets take L.C.M of those two values:-

L.C.M of 2,3 = 6

$\implies a:b = 3:2 =( 3\times3):(2\times3)$

$= 9 : 6$

a:b = 9:6

$b:c = 3:4 = (3\times2):(4\times2)$

= 6:8

b:c = 6:8

Since, now :- a:b:c = 9:6:8

$\implies a:c = 9:8$