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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Answer 1

Step-by-step explanation:

(x×5/2)+2/3=-7/12

2/3x+19/6=-7/12

2/3x=31/12

X=39/12

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Answer 2

Let the rational be x.

→ According to the question,

x × (5/2) + 2/3 = -7/12

⇒ 5x/2 + 2/3 = -7/12

⇒ 5x/2 = -7/12 – 2/3

⇒ 5x/2 = (-7- 8)/12

⇒ 5x/2 = -15/12

⇒ 5x/2 = -5/4

⇒ x = (-5/4) × (2/5)

⇒ x = – 10/20

⇒ x = -½

Therefore, the rational number is -½.