Simplifying a ratio

Difficulty Starter · Set eaztxs

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

1
Write the ratio 18 : 24 in its simplest form.
2
Write the ratio 8 : 12 in its simplest form.
3
Write the ratio 18 : 18 in its simplest form.
4
Write the ratio 36 : 18 in its simplest form.
5
Write the ratio 6 : 6 in its simplest form.
6
Write the ratio 12 : 30 in its simplest form.
7
Write the ratio 16 : 12 in its simplest form.
8
Write the ratio 14 : 35 in its simplest form.
9
Write the ratio 30 : 12 in its simplest form.
10
Write the ratio 14 : 35 in its simplest form.
11
Write the ratio 48 : 32 in its simplest form.
12
Write the ratio 24 : 16 in its simplest form.
13
Write the ratio 8 : 12 in its simplest form.
14
Write the ratio 12 : 16 in its simplest form.
15
Write the ratio 30 : 18 in its simplest form.
16
Write the ratio 27 : 18 in its simplest form.
17
Write the ratio 12 : 9 in its simplest form.
18
Write the ratio 36 : 18 in its simplest form.
19
Write the ratio 24 : 30 in its simplest form.
20
Write the ratio 48 : 24 in its simplest form.

What is in this set

The numbers in this set run from 4 to 54.
90% of them share a factor larger than three.
10% of them share a small factor.
A careful solution takes 2 written steps on average.
The mistake this set invites most often, in 100% of the problems: the common factor was taken away from both sides; a ratio is simplified by dividing both sides, not by subtracting.
Answers are a ratio in its simplest form, written like 3 : 4.

Drawing 240 problems from this page produced 125 different ones, 52% — 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 6 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

Finding the missing number in a proportion

Numbers 2–27.

Sharing an amount in a given ratio

Numbers 1–108; every one will split into shares of different sizes.

All of ratio and proportion

12 skills in this topic, 36 sets between them.

Printing it

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