Question

the product of 2 rational numbers is 16/3.If one of the rational number is -26/3,find the other rational number

Answer 1

-
`(8)/(13)`

Explanation:

let n be the other rational number , then

-
`(26)/(3)` n =
`(16)/(3)`

[a number × its reciprocal = 1 ]

multiply both sides by the reciprocal -
`(3)/(26)`

n =
`(16)/(3)` × -
`(3)/(26)` ( cancel the 3 on numerator/ denominator )

n = -
`(16)/(26)` = -
`(8)/(13)`