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

Hi,

Let the rational number = x

x is multiplued with 5/2 = 5x / 2

According to the problem given,

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

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

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

5x / 2 = -15 / 12

x = ( - 15 / 12 ) × ( 2 / 5 )

x = - 30 / 60

x = - 1 / 2

Therefore,

Required rational number = x = - 1/2

I hope this helps you.

:)

Answer 2

Answer:

Therefore, the rational number will be -1/2.

Step-by-step explanation:

Let the rational be ‘n’.

According to the given details the equation becomes

n × (5/2) + 2/3 = -7/12

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

5(n/2) = -7/12 – 2/3

5(n/2) = (-7- 8)/12

5(n/2) = -15/12

5n/2 = -5/4

n = (-5/4) × (2/5)

n = – 10/20

n = -1/2