Question

A rational number is such that when
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:-137/30

Step-by-step explanation:

let the no be x

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

x(5/2)=-7/2-2/3

x(5/2)=-21-4/6

x=(-25/6)/(-5/2)

x=-25/6*-2/5

x=-137/30

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.