There are a number of times when you can write the relationship as a multiple.
For example, you could say, 'this bottle holds three times as much as that one'. This is a multiplicative relationship.
One of the skills you have to master is how to write this as either a ratio or a fraction.
Example 1: One jug of water is three times larger than another. Write the relationship as a ration.
We know that all ratios are written as the form a:b where a and b are whole numbers.
We can write this relationship as 1:3 or 3:1 (the question doesn't say which one is the bigger one so we can use either order)
Example 2: I have two pieces of wood. Piece A is 60 cm and piece B is 80 cm long.
a) Write the lengths of A: B as a ratio in its simplest form,
We start by writing them as they are - 60 : 80
We can then cancel these down to their simplest form by dividing by 20 - 3:4
b) Find the length of B as a fraction of A.
In this, we are finding B as a fraction of A, so B must go on the top of the fraction and A on the bottom.
This gives a fraction of 80/60. This can then be canceled down (again, divide by 20) to get 4/3