Question

a rational number is such that when you multiply it by 5/4 and add 2/3 to the product ​

Answer 1

pls complete the question

Answer 2

Given:

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

To find:

What is the number?

Solution:

From given, we have,

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

Let (p/q) be the rational number.

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

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

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

(p/q)(5/2) =- (2 × 4 + 7)/12

(p/q)(5/2) = -(8+7)/12

(p/q)(5/2) = - 15/12

(p/q) = - 15/12 × 2/5

(p/q) = -3/6 = - 1/2

where p = -1 and q = 2 ≠ 0

Therefore, the required rational number such that when you multiply it by 5/2 and add 2/3 to the product you get -7/12 is -1/2.