Comparing two fractions

Difficulty Stretch · Set fbgohu

Fill in what you can and press Check. Nothing you type is sent anywhere.

1
Put in the sign, < > or =:121325
2
Put in the sign, < > or =:1837
3
Put in the sign, < > or =:121017
4
Put in the sign, < > or =:311916
5
Put in the sign, < > or =:3161619
6
Put in the sign, < > or =:417712
7
Put in the sign, < > or =:817116
8
Put in the sign, < > or =:61357
9
Put in the sign, < > or =:11912
10
Put in the sign, < > or =:37211
11
Put in the sign, < > or =:3727
12
Put in the sign, < > or =:71159
13
Put in the sign, < > or =:14710
14
Put in the sign, < > or =:781117
15
Put in the sign, < > or =:12910
16
Put in the sign, < > or =:1279
17
Put in the sign, < > or =:310111
18
Put in the sign, < > or =:2919
19
Put in the sign, < > or =:11214
20
Put in the sign, < > or =:1816

What is in this set

The numbers in this set run from 1 to 20.
95% of them have unlike denominators.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 51% of the problems: the fraction with the larger denominator was called the larger one; a bigger denominator cuts the whole into more, and therefore smaller, parts.
Answers are a short answer exactly as the problem asks for it.

Drawing 240 problems from this page produced 235 different ones, 98% — so a sheet of 20 is a new sheet almost every time.

The same skill, harder or easier

We would put this in front of a grade 4 class. That is our judgement, not a standard, and it is printed here so you can disagree with it. Everything else we put in that year.