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Question
Choose the correct answer from the given options :
A ratio equivalent to the ratio `(2)/(3) : (5)/(7)` is
Options
4:6
5:7
15:14
14:15
Solution
`(2)/(3) : (5)/(7)`
Multiply and divide `(2)/(3)` by 7 and
Multiply and divide `(5)/(7)` by 3
∴ `(2)/(3) xx (7)/(7) : (5)/(7) xx (3)/(3)`
⇒ `(14)/(21) : (15)/(21)`
⇒ 14 : 15
∴ `(2)/(3) : (5)/(7)` is equivalent 14 : 15
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