Improper fractions to mixed numbers

Difficulty Standard · Set vpfq5d

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1
Write92as a mixed number.
2
Write133as a mixed number.
3
Write458as a mixed number.
4
Write419as a mixed number.
5
Write72as a mixed number.
6
Write259as a mixed number.
7
Write125as a mixed number.
8
Write1310as a mixed number.
9
Write478as a mixed number.
10
Write72as a mixed number.
11
Write117as a mixed number.
12
Write72as a mixed number.
13
Write225as a mixed number.
14
Write358as a mixed number.
15
Write418as a mixed number.
16
Write195as a mixed number.
17
Write1110as a mixed number.
18
Write92as a mixed number.
19
Write32as a mixed number.
20
Write65as a mixed number.

What is in this set

The numbers in this set run from 2 to 59.
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 87% 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 97 different ones, 40% — 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.