Comparing two fractions

Difficulty Standard · Set tlp2r4

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1
Put in the sign, < > or =:5613
2
Put in the sign, < > or =:2312
3
Put in the sign, < > or =:4512
4
Put in the sign, < > or =:71235
5
Put in the sign, < > or =:1547
6
Put in the sign, < > or =:1416
7
Put in the sign, < > or =:2315
8
Put in the sign, < > or =:5916
9
Put in the sign, < > or =:2312
10
Put in the sign, < > or =:5856
11
Put in the sign, < > or =:2513
12
Put in the sign, < > or =:511910
13
Put in the sign, < > or =:2356
14
Put in the sign, < > or =:13611
15
Put in the sign, < > or =:1612
16
Put in the sign, < > or =:5613
17
Put in the sign, < > or =:61135
18
Put in the sign, < > or =:5989
19
Put in the sign, < > or =:1267
20
Put in the sign, < > or =:51138

What is in this set

The numbers in this set run from 1 to 12.
93% of them have unlike denominators.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 55% 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 213 different ones, 89% — 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.