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

• The required number is (-1)/2 which when multiplied by 5/2 & the obtained product added to 2/3 results as (-7)/12 .

Attachment provided⬆⬆↗↖ can help you through the solution also⬆⬆⬆

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.