A rational number is such that when you multiply it by 5 upon 2 and add two upon three to the product you get _7\12 what is the number

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Solution

Let the rational number = x

x is multiplued with 5/2 = 5x / 2

According to the problem given,

5x/2 + 2/3 = - 7/12

5x/2 = -7/12 - 2/3

5x/2 = ( -7 - 8 ) / 12

5x / 2 = -15 / 12

x = ( - 15 / 12 ) × ( 2 / 5 )

x = - 30 / 60

x = - 1 / 2

Therefore,

Required rational number = x = - 1/2

I hope this helps you.

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