How would you calculate in your head the decimal value of 93/95 rounded to two decimal places?

I did long division. Got it a bit wrong as I got to 0.94 but my calculator says 0.98

I don’t get the next bit of your description

I would try it in reverse. That is, 93 ÷ 95 is short of a perfect 1 by 2 ÷ 95. And that will be just a bit over 2% (2 ÷ 100), but so close that the problem should round out to 0.98, I think.

Yes that works. I was thinking along the lines of a way that you could show that .98 is the correct answer. I will explain what I had in mind later.

I get what @CWOTUS says

I’m a bit of an enthusiastic beginner with maths problems so l think that if I get it, most bright but not mathematically trained people will get it

Here is what I had in mind. Suppose the team that won 93 out of 95 games then won their next 5. That would raise their winning rate to 98/100 = .98, so 93/95 is less than .98. Now suppose instead they win 4 of their next 5 games, playing at a rate of .8. This lowers their winning rate to 97/100 = .97. So we know that .97 < 93/95 < .98.

Wanting to keep my brain from melting, I wouldn’t.

@LostInParadise That’s awesome. Thank you!