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Question
A rational number is such that when you multiply it by `5/2`and add `2/3` to the product, you get `-7/12`. What is the number?
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Solution
Let the number be x.
According to the given question,
`5/2 x + 2/3 = -7/12`
On transposing `2/3` to R.H.S, we obtain
`5/2 x = -7/12 - 2/3`
`5/2 x = (-7-(2xx4))/12`
`5/2 x = - 15/12`
On multiplying both sides by `2/5` we obtain
`x = -15/12 xx 2/5 = -1/2`
Hence, the rational number is `-1/2`
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