Question

13. 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?
​

Answer 1

Answer:

Let the rational number be 'x'

Therefore,

$\frac{5}{2} x + \frac{2}{3} = \frac{ - 7}{12} \\ = \frac{5}{2} x = \frac{ - 7}{12} - \frac{2}{3} \\ = \frac{5}{2} x = \frac{ - 7 - 8}{12} \\ = \frac{5}{2} x = \frac{ - 15}{12} \\ = \frac{5}{2} x = \frac{ - 5}{4} \\ = x = \frac{ - 5}{4} \div \frac{5}{2} \\ = x = \frac{ - 5}{4} \times \frac{2}{5} \\ = x = \frac{ - 1}{2}$

Hope this helps.

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