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

Answer:

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

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

x*5/2= -5/4

x= -5/4 * 2/5

x = -1/2

Step-by-step explanation:

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.