92.96 as a mixed number in simplest form

I believe the answer is 92 24/25 meaning 92 and 24 over 25 because ...

92.96

92 as whole #

.96 as decimal, therefore, it will be 96/100

1) divide both numbers by 4 (because the GCF of 96 and 100 is 4)

96: 1, 2, 3, (4), 6, 8, 12, 16, 24, 32, 48, 96

100: 1, 2, (4), 5, 10, 20, 25, 50, 100

2) 92 stayed the same since it is the whole number

And that is how i get my answer: 92 24/25