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What is a ratio? | Year 6 Mathematics PDF Download

Understanding Ratios

  • Definition of a Ratio: A ratio is a way to express the relationship between two quantities, showing how much of one quantity exists in relation to another.
  • Representation of Ratios:
    • Ratios are typically written in the form of a : b. For instance, if you mix 1 part orange with 4 parts water, the ratio of orange to water is 1 : 4.
    • The order of numbers in a ratio is significant and changing this order alters the proportions.

What is a ratio? | Year 6 Mathematics

How to simplify ratios

  • Let's consider a ratio of red to blue dinosaurs as 12 : 18. This ratio can be simplified by finding a common factor, such as 2 in this case.
  • Dividing both 12 and 18 by 2, we get 6 and 9 respectively. Hence, 12 : 18 simplifies to 6 : 9.
  • Further simplification is possible by dividing by another common factor, like 3. Dividing 6 by 3 gives 2, and dividing 9 by 3 gives 3, resulting in the simplest form of the ratio: 2 : 3.
  • Thus, 12 : 18 simplifies to 2 : 3.

Question for What is a ratio?
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What is the simplified form of the ratio 20 : 30?
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FAQs on What is a ratio? - Year 6 Mathematics

1. What is a ratio in mathematics?
Ans. A ratio in mathematics is a comparison of two quantities using division. It shows how many times one quantity is contained within another.
2. How are ratios used in everyday life?
Ans. Ratios are used in everyday life for various purposes such as cooking (recipe proportions), sports (player statistics), and finance (profit margins).
3. Can ratios be simplified?
Ans. Yes, ratios can be simplified by dividing both parts of the ratio by their greatest common factor to make the ratio easier to work with.
4. What is the difference between a ratio and a proportion?
Ans. A ratio compares two quantities, while a proportion states that two ratios are equal. In other words, a proportion is an equation that states two ratios are equivalent.
5. How can ratios help in making decisions?
Ans. Ratios can help in making decisions by providing a clear comparison between different quantities, allowing individuals to analyze and choose the best option based on the given ratios.
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