Simplifying a ratio

Difficulty Stretch · Set nkbfna

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1
Write the ratio 54 : 225 in its simplest form.
2
Write the ratio 180 : 72 in its simplest form.
3
Write the ratio 21 : 175 in its simplest form.
4
Write the ratio 104 : 88 in its simplest form.
5
Write the ratio 126 : 216 in its simplest form.
6
Write the ratio 154 : 28 in its simplest form.
7
Write the ratio 102 : 36 in its simplest form.
8
Write the ratio 152 : 56 in its simplest form.
9
Write the ratio 54 : 63 in its simplest form.
10
Write the ratio 88 : 144 in its simplest form.
11
Write the ratio 115 : 85 in its simplest form.
12
Write the ratio 200 : 120 in its simplest form.
13
Write the ratio 112 : 154 in its simplest form.
14
Write the ratio 112 : 40 in its simplest form.
15
Write the ratio 133 : 154 in its simplest form.
16
Write the ratio 6 : 60 in its simplest form.
17
Write the ratio 184 : 160 in its simplest form.
18
Write the ratio 88 : 12 in its simplest form.
19
Write the ratio 126 : 99 in its simplest form.
20
Write the ratio 117 : 27 in its simplest form.

What is in this set

The numbers in this set run from 4 to 225.
85% of them share a factor larger than three.
15% 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 232 different ones, 97% — 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 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 2–198.

Sharing an amount in a given ratio

Numbers 1–720; 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.