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What is a ratio? | Year 5 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.

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?
Try yourself:
If a ratio of apples to oranges is 5 : 8, and we want to simplify it to its simplest form, what is the simplified ratio?
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FAQs on What is a ratio? - Year 5 Mathematics

1. What is a ratio?
Ans. A ratio is a comparison of two numbers or quantities. It shows how many times one number is contained within another number.
2. How do you simplify ratios?
Ans. To simplify ratios, divide both numbers in the ratio by their greatest common factor until they cannot be divided any further.
3. What is the importance of understanding ratios in math?
Ans. Ratios are important in math because they help in comparing quantities, scaling up or down, and solving various real-life problems involving proportions.
4. Can ratios be expressed in different forms?
Ans. Yes, ratios can be expressed in different forms such as as fractions, decimals, or percentages depending on the context of the problem.
5. How are ratios used in everyday life?
Ans. Ratios are used in everyday life in various scenarios such as cooking recipes, financial planning, and measuring distances on maps.
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