Simplifying a fraction to its lowest terms

Difficulty Standard · Set pq6lu3

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1
Write312in its lowest terms.
2
Write1822in its lowest terms.
3
Write1416in its lowest terms.
4
Write714in its lowest terms.
5
Write222in its lowest terms.
6
Write816in its lowest terms.
7
Write1618in its lowest terms.
8
Write614in its lowest terms.
9
Write1012in its lowest terms.
10
Write39in its lowest terms.
11
Write220in its lowest terms.
12
Write2224in its lowest terms.
13
Write818in its lowest terms.
14
Write816in its lowest terms.
15
Write628in its lowest terms.
16
Write426in its lowest terms.
17
Write620in its lowest terms.
18
Write212in its lowest terms.
19
Write1022in its lowest terms.
20
Write39in its lowest terms.

What is in this set

The numbers in this set run from 2 to 32.
84% of them share a small factor.
16% of them share a factor larger than three.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 58% of the problems: the common factor was subtracted from both numbers; simplifying divides, it does not take away.
Answers are a fraction in its lowest terms, written like 3/4.

Drawing 240 problems from this page produced 85 different ones, 35% — 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 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.

Next to this

The missing numerator in an equivalent fraction

Numbers 1–72.

Mixed numbers to improper fractions

Numbers 1–10; every one will cross between improper and mixed form.

All of fractions

24 skills in this topic, 71 sets between them.

Printing it

The printed sheet carries no menus and no advertising, and the answer key is on its own page.