We have three responses for you

Hi Clayton,

From the answers given, it appears that you are considering the following fraction:
# letters in the word/# letters in the alphabet
the alphabet has 26 letters
for example, "car" has 3 letters, so the fraction is 3/26
the fractions should also be reduced to simplest terms
for example, "it" has two letters, so the fraction is 2/26 = 1/13

there is some confusion here because what about letters that repeat in a word
if we don't count repeating letters then the required fractions is
#letters used in the word/26
for example, "cottage" has 7 letters but "t" occurs twice (only six letters are used), so the fraction is
6/26 = 3/13

Based on the answers given, it appears the the first answer is what is expected

Paul

Hi Clayton,

I agree with Paul's response for the first two words. For the last two my guess is that the person generating the answers mistakenly divided by 36 rather than 26.

integrity: 9/36 = 1/4

computer: 8/36 = 2/9

Harley

Hi Clayton. Perhaps someone else sees more than I do, but I think
these answers are really wonky.

My answers:

Man = 3 distinct letters out of twenty-six in the alphabet: 3/26.
Glasses = 5 distinct letters out of twenty-six in the alphabet: 5/26.
Integrity = 7 distinct letters out of twenty-six in the alphabet: 7/26.
computer = 8 distinct letters out of twenty-six in the alphabet: 8/26 = 4/13.

I was looking for a "trick" or puzzle, but didn't see one. Have you
been able to confirm with a teacher that the answers in the book are
indeed correct?

Stephen.

As you can see clayton, the one thing we agree on is that the answers you have don't make sense.