Ratio meaning
- A ratio is a way of comparing two or more quantities.
- It tells us how much of one thing there is compared to another thing.
- For example, we could have a ratio which tells us how many apples there are compared to how many oranges there are.
- Importantly, they don’t tell us the actual amounts of each thing, just how their amounts compare to each other.
Writing ratios
Section titled “Writing ratios”- If we know that we have
apples and oranges, we can write the ratio of apples to oranges as . - For example, if we have 3 apples and 5 oranges, we can write the ratio of
apples to oranges as
. - This could also be written in any equivalent form. For example, the
apples to oranges ratio could also be written as or , for example. - To find equivalent ratios, we can multiply or divide both sides of the ratio by the same number - see simplifying ratios for more details.
Examples
Section titled “Examples”A fruit bowl contains pears and bananas in the ratio 2:3. If there are 8 pears, how many bananas are there?
Section titled “A fruit bowl contains pears and bananas in the ratio 2:3. If there are 8 pears, how many bananas are there?”- The ratio of pears to bananas is
. - We can see that each part pear is equal to
actual pears, because: - To keep the ratio the same, we need to multiply the number of bananas by
as well: - Answer: there are
bananas.
A classroom has boys and girls in the ratio 5:4. If there are 20 boys, how many girls are there?
Section titled “A classroom has boys and girls in the ratio 5:4. If there are 20 boys, how many girls are there?”- The ratio of boys to girls is
. - We can see that each part boy is equal to
actual boys, because: - To keep the ratio the same, we need to multiply the number of part girls by
as well: - Answer: there are
girls.
This was probably the most awkwardly worded example I’ve ever written.