Question

e:f = 3:7 f:g = 2:3
work out e:g
Give your answer in it's simplest form

Answer 1

e/f = f/g

3/7 = 2/3

2/7

2:7

Answer 2

SOLUTION

GIVEN

e : f = 3 : 7 and f : g = 2 : 3

TO DETERMINE

The value of e : g

EVALUATION

Here it is given that

e : f = 3 : 7

$\displaystyle \sf{ \implies \frac{e}{f} = \frac{3}{7} \: \: \: - - - (1) }$

f : g = 2 : 3

$\displaystyle \sf{ \implies \frac{f}{g} = \frac{2}{3} \: \: \: - - - (2) }$

On multiplication we get

$\displaystyle \sf \frac{e}{f} \times \frac{f}{g} = \frac{3}{7} \times \frac{2}{3}$

$\displaystyle \sf \implies \frac{e}{g} = \frac{2}{7}$

$\displaystyle \sf \implies e : g = 2 : 7$

FINAL ANSWER

$\displaystyle \sf e : g = 2 : 7$

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