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Question
If `(2)/"m" xx 1(1)/(5) = (3)/(7) "of" 2(1)/(2)`, find the value of 'm'.
Solution
`(2)/"m" xx 1(1)/(5) = (3)/(7) "of" 2(1)/(2)`
means `(2)/"m" xx 1(1)/(5) = (3)/(7) xx 2(1)/(2)`
⇒ `(2)/"m" xx (6)/(5) = (3)/(7) xx (5)/(2)`
⇒ `(12)/(5"m") = (15)/(14)`
⇒ (12)(14) = (15)(5m)
⇒ `(12 xx 14)/(15 xx 15)` = m
⇒ m = `(56)/(25)`.
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