If $a : b = 2 : 3$ , $b : c = 5 : 6$ and $c : d = 8 : 11$ then find $a : d$ .

Question

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Answer 1

Given,

$a : b = 2 : 3$
or, $\frac{a}{b} = \frac{2}{3}$ ......(1).
And
$b : c = 5 : 6$
or, $\frac{b}{c} = \frac{5}{6}$ .......(2)
And $c : d = 8 : 11$
or, $\frac{c}{d} = \frac{8}{1 1}$ ........(3).
Now multiplying (1) and (2) and (3) we get,
$\frac{a}{d} = \frac{4 0}{9 9}$
or, $a : d = 40 : 99$ .

Answer 2

Given,

a : b = 2 : 3

or,

\frac{a}{b} = \frac{2}{3}

......(1).

And

b : c = 5 : 6

or,

\frac{b}{c} = \frac{5}{6}

.......(2)

And

c : d = 8 : 11

or,

\frac{c}{d} = \frac{8}{1 1}

........(3).

Now multiplying (1) and (2) and (3) we get,

\frac{a}{d} = \frac{4 0}{9 9}

or,

a : d = 40 : 99

.