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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.
  • 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.

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.