Comparing two fractions

Difficulty Starter · Set h411ss

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1
Put in the sign, < > or =:3723
2
Put in the sign, < > or =:1612
3
Put in the sign, < > or =:3512
4
Put in the sign, < > or =:3445
5
Put in the sign, < > or =:2347
6
Put in the sign, < > or =:4515
7
Put in the sign, < > or =:1645
8
Put in the sign, < > or =:2325
9
Put in the sign, < > or =:1256
10
Put in the sign, < > or =:1745
11
Put in the sign, < > or =:3713
12
Put in the sign, < > or =:2315
13
Put in the sign, < > or =:3412
14
Put in the sign, < > or =:3857
15
Put in the sign, < > or =:6734
16
Put in the sign, < > or =:2512
17
Put in the sign, < > or =:1335
18
Put in the sign, < > or =:1417
19
Put in the sign, < > or =:1358
20
Put in the sign, < > or =:1612

What is in this set

The numbers in this set run from 1 to 8.
93% of them have unlike denominators.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 52% 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 154 different ones, 64% — 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.