Putting fractions in order

Difficulty Stretch · Set tp6pl0

Put each list in order, smallest first, and separate the fractions with commas.

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

1
3/7, 2/5, 7/8, 1/3
2
4/9, 5/19, 2/5, 11/17
3
2/3, 5/9, 1/3, 6/7
4
1/3, 5/12, 1/2, 2/11
5
11/16, 5/6, 7/16, 2/3
6
4/11, 11/18, 4/5, 1/2
7
16/19, 5/8, 5/18, 1/11
8
6/13, 8/13, 1/17, 5/7
9
1/2, 1/20, 6/19, 9/17
10
1/6, 4/5, 11/12, 9/13
11
5/8, 5/6, 2/3, 5/7
12
9/17, 4/5, 3/7, 11/17
13
4/9, 1/2, 3/11, 13/15
14
10/13, 11/14, 1/2, 7/10
15
3/8, 10/13, 7/9, 1/2
16
8/13, 9/10, 2/13, 1/3
17
4/5, 13/20, 1/3, 7/10
18
1/19, 2/3, 3/10, 1/3
19
7/9, 1/8, 1/14, 1/10
20
5/7, 7/13, 1/2, 8/17

What is in this set

The numbers in this set run from 1 to 20.
Every problem in it will ask for a whole list in order rather than a single value.
A careful solution takes 5 written steps on average.
The mistake this set invites most often, in 98% of the problems: the fractions were put in order of their denominators; a bigger denominator makes each part smaller, so that alone does not decide.
Answers are a short answer exactly as the problem asks for it.

Drawing 240 problems from this page produced 240 different ones, 100% — 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 5 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.