Question

If A:B = 5:6 and B:C =8:9 find A:B:C
Answer with explanation
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Answer 1

Answer:

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Answer 2

$\rm\underline{Question}$

If A:B = 5:6 and B:C =8:9 then find A:B:C.

$\rm\underline{Given}$

A:B = 5:6

B:C = 8:9

$\rm\underline{To\:Find}$

A:B:C

$\rm\underline{Answer}$

If you will see carefully,you will find that B is common in both A:B = 5:6 B:C = 8:9  ratio.

So,

We will make same values ratio for B.

$\dfrac{A}{B} = \dfrac{5}{6} \times \dfrac{8}{8} = \dfrac{40}{48}$

$\dfrac{B}{C} = \dfrac{8}{9} \times \dfrac{6}{6} = \dfrac{48}{54}$

$A:B:C = 40:48:54$

Cancel out all Common Factors

$A:B:C = 20:24:27$

Therefore the ratio A:B:C is 20:24:27

Hope it helps !

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