Question

2. The product of two rational numbers is 4/25

. If one number is −6/5
, find the other number.

Answer 1

So the other number is -
`(4)/(3)`.

Explanation:

Let x be the number.

We know,

(-
`(6)/(5)`) × x =
`(4)/(25)`

-
`(6)/(5)` × x =
`(4)/(25)` (By expanding the left side of the equation)

Dividing both sides by -
`(6)/(5)`

x = -
`(4)/(25)` × -
`(6)/(5)`

After simplifying the equation ,

x = -
`(4)/(3)`

So the number is -
`(4)/(3)`.

Answer 2

Explanation:

If the product of two rational numbers is 4/25, we can write the equation:

(x) * (-6/5) = 4/25

where x is the other number.

Expanding the equation:

x * -6/5 = 4/25

Multiplying both sides by 5 to get rid of the fraction on the right-hand side:

5 * x * -6/5 = 5 * 4/25

x * -6 = 4

Dividing both sides by -6:

x = -4/-6

x = 4/6

So, the other number is 4/6.