Question

a rational number is such that when you multiply it by 5 / 2 and add 2 /3 to product you get -7 /12 .what is the number​

Answer 1

Answer:

-1/2

Step-by-step explanation:

Let the required rational number be 'x'. Then, according to the question,

(x × 5/2) + 2/3 = -7/12

=> 5x/2 + 2/3 = -7/12

=> (15x + 4) / 6 = -7/12

=> 15x + 4 = -42/12

=> 15x = -42/12 - 4

=> 15x = -42/12 - 48/12

=> 15x = -90/12

=> x = -90/(12 × 15)

=> x = -6/12

=> x = -1/2

Hence, the required rational number = -1/2

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.