How to properly use numbers in text (special case)? [closed]
Solution 1:
There are many conventions for writing numbers. As this page notes:
America's two most influential style and usage guides have different approaches: The Associated Press Stylebook recommends spelling out the numbers zero through nine and using numerals thereafter
...
The Chicago Manual of Style recommends spelling out the numbers zero through one hundred and using figures thereafter
(with various exceptions to both of those rules)
Personally, I would go with the Associated Press approach. Reading large numbers as text is harder than as digits. So use digits for numbers 10 and above.
In terms of the wording, in text I would be explicit and say "100 out of 150". In diagrams, tables or summaries it would be OK to use 100/150.
However, I don't know what "We received 100 out of 150 responses" means. If there were 50 responses that you did not receive, what happened to them? If you didn't receive them, are they really responses? So you might need to clarify the wording of that.