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?​

Answer 1

Answer:

-1/2

Step-by-step explanation:

Let the rational number be q

Multiplying it with 5/2 we get

= 5q/2

According to the question

= 5q/2 + 2/3 = -7/12

= 5q/2 = -7/12 -(2/3)

= 5q/2 = -15/12

= q = (-15/12) ÷ (5/2)

= q= (-15/12) × (2/5)

= q = -1/2

Answer 2

Answer:

Let x be the rational number.

5/2 × ( 3 / 3 = 7 / 12 )

5/2 * = 7 / 12 -1/3

5/2 = -7 - ( 2 - 4 ) / 12

5/2 × - 15 / 2

Multiplying both sides by ( 2/15 )

x = - 15 / 12 × 2 / 5 = - 1/2

.•. Rational number = - 1/2