MathBrush
←  All problems

Question P6 Forming and simplifying ratios

Today’s problem — free all day, every step. Every day has one.

Simplify the ratio 18 : 24

Reduce 18 : 24 to its simplest form.

See all 5 steps

MathBrush is being tested with a few parent groups, and every solution on the site is open to them — one household, all children. If you were given a code, it goes in once and this device remembers it.

I have a code → See a free one like it

65 worked examples are free without a code, two from every pattern. No account, either way.

About this method

Forming and simplifying ratios

Keep the quantities in order and divide both by the same number.

In this one. Divide both terms by the same number. Using their greatest common factor gives the simplest equivalent ratio.

18 : 24 becomes 3 : 4first18; each box is 6second24; each box is 6

How to spot it

The question names two quantities in a stated order, red to blue, or gives an existing ratio to reduce. Words like 'ratio' and 'simplest form' give it away.

Common mistake

Children write the numbers in the order they appear in the story rather than the order the question asks for. When simplifying, they divide only one of the two numbers instead of both.

Practise a similar question

Standard There are 18 red beads and 24 blue beads. Write the ratio of red beads to blue beads.
All 4 with this pattern →
Get the free patterns and skills booklet

Patterns and skills booklet

Worked examples of all 33 patterns and skills, in a booklet you can print.