Question

Find the reciprocal of 3 3/5

Answer 1

5/18 you have to change the mixed number into an improper fraction

Answer 2

The reciprocal of 3 3/5 is
`(5)/(18)`

Explanation:

Step 1: Reciprocal of
`(a)/(b)` is
`(b)/(a)`.

Step 2: To convert the given mixed number
`3(3)/(5)` into improper fraction.

Let's convert the given mixed fraction into improper fraction.

To convert fraction multiply the whole number and divisor, then add with the numerator. Keep the denominator as it.

`3(3)/(5) = ((3*5) +3)/(5)`

=
`((15 + 3))/(5)`

=
`(18)/(5)`

Step 3: Now find the reciprocal of 18/5, which is 5/18.

The answer is 5/18

Thank you.