Question

the product of two rational number is -8by9 . if one number is -4by15 find the other number​

Answer 1

Answer:

the other number will be 10/3

Step-by-step explanation:

given that,

the product of two rational number = -8/9

given one of them = -4/15

let the other be x

given product = -8/9

so,

According to the question,

-4/15 × x = -8/9

by solving this we will get

x = -8/9 × - 15/4

x = 10/3

so,

the other number will be 10/3

______________________

VERIFICATION :

Now,

one of the number = -4/15

another number = 10/3

given product = -8/9

LHS = -4/15 × 2/9

RHS = -8/9

so,

-4/15 × 10/3 = -8/9

-8/9 = -8/9

so,

LHS = RHS

hence verified

Answer 2

Product =

$\frac{ - 8}{9}$

First Number =

$\frac{ - 4}{15}$

The required second number =

$\frac{ 10}{3}$

What are rational numbers?

Those numbers which can be written in the form of p/q where both p and q are Integers are called rational numbers.