Question

What will be the reciprocal of 4/9 × 45/36​

Answer 1

(4/9)×(45/36) = (4/9)×(5/4) = 5/9
Reciprocal of 5/9 is 9/5

Answer 2

`(9)/(5)`

Explanation:

`(4)/(9)` ×
`(45)/(36)`

=
`(4)/(9)` ×
`(5)/(4)` ( cancel 4 on numerator/ denominator )

`(5)/(9)`

Given a number n then its reciprocal is
`(1)/(n)`

Then the reciprocal of
`(5)/(9)` is

`(1)/((5)/(9) )` =
`(9)/(5)`