Ratios show the quantitative relationship between two amounts.
Just like fractions, we can simplify ratios to their lowest term. This makes ratios easier to understand and to work with.
To simplify a ratio we divide each part by a common factor. Therefore we need to find the highest common factor of the numbers that make up the ratio.
Simplify: 10: 15: 20
The first thing we need to do is find the highest common factor of these numbers.
Factors of 10 : 1, 2, 5
Factors of 15: 1,3,5,15
Factors of 20: 1, 2,4,5,10,20
If we look at this list we can see 5 is the highest common factor (HCF), therefore we will divide each number by 5. This will give means:
- Caroline and Rachel share some money in a ratio of 4:5 Caroline gets £20, how much will Rachel get?
- Share $40 in a ratio of 3:2:5
- Your answer should include: $12 / $8 / $20
- Simplify 12:18:6