Improper fractions to mixed numbers

Difficulty Stretch · Set 4qot2h

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

1
Write238as a mixed number.
2
Write112as a mixed number.
3
Write157as a mixed number.
4
Write297as a mixed number.
5
Write7113as a mixed number.
6
Write72as a mixed number.
7
Write3910as a mixed number.
8
Write478as a mixed number.
9
Write398as a mixed number.
10
Write298as a mixed number.
11
Write133as a mixed number.
12
Write398as a mixed number.
13
Write235as a mixed number.
14
Write1413as a mixed number.
15
Write6116as a mixed number.
16
Write157as a mixed number.
17
Write85as a mixed number.
18
Write32as a mixed number.
19
Write74as a mixed number.
20
Write227as a mixed number.

What is in this set

The numbers in this set run from 2 to 89.
Every problem in it will cross between improper and mixed form.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 95% of the problems: the leftover was counted from the wrong end — what is left over is the remainder of the division, not what is missing from the next whole.
Answers are a mixed number, written like 2 1/3.

Drawing 240 problems from this page produced 135 different ones, 56% — so a sheet of 20 will come back to a problem you have seen — there are only so many sensible ones of this kind.

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.