Ratio and proportion are mathematical concepts that help us make comparisons and solve problems in our daily lives. Whether we are dividing a pizza among friends or planning a trip, understanding ratios and proportions can be very useful. In this article, we will explain these concepts in simple terms and provide you with some examples to help you understand them better.
Ratio is a way to compare two or more things that have something in common. For example, let's say we have 10 apples and 5 oranges. We can compare the number of apples to the number of oranges by using a ratio. A ratio is a way of showing the relationship between two numbers.
For example,
The ratio of apples to oranges is 10:5 or 2:1. This means that for every 2 apples, there is 1 orange.
Another example,
Of a ratio is if we have a pizza that is cut into 8 slices and 3 of the slices are pepperoni, the ratio of pepperoni slices to total slices is 3:8.
Ratios are very useful in many situations, such as cooking, construction, and finance.
Proportion is an equation or statement that is used to depict that the two ratios or fractions are equivalent. Two equivalent ratios are always in proportion. Proportions refer to the equality of two ratios and are denoted by the symbol (: :). They help us to solve for unknown quantities.
There are two types of proportions.
Direct proportion is a concept in math that helps us understand how things change when we increase or decrease one of them. It means that as one thing increases, the other thing also increases, and as one thing decreases, the other thing also decreases.
For example, let's say you are baking cookies and you need to use flour and sugar. If you increase the amount of flour, you will also need to increase the amount of sugar to keep the recipe balanced. This is because the amount of sugar needed is directly proportional to the amount of flour used.
Inverse proportion is a concept in mathematics that shows how two values are related to each other. Inverse proportion means that as one value increases, the other value decreases. For example, imagine you are filling up a glass with water. If you increase the amount of water in the glass, the level of air in the glass decreases. This is because the amount of water and air are inversely proportional to each other.
The formula for ratio is expressed as a : b ⇒ a/b, where,
Now, in order to express a proportion for the two ratios, a : b and c : d, we write it as
The difference between ratio and proportion can be seen in the following table.
Ratio | Proportion |
A comparison of two or more quantities that have the same unit of measurement. | The equality of two ratios. |
Can be written in different forms, such as 2:1 or 2/1. | Two ratios are proportional if they have the same value. |
Represents how many times one quantity is greater than another. | When two ratios are proportional, it means that they have the same value. |
Example: The ratio of boys to girls in a class is 2:3. | Example: If the ratio of boys to girls in a class is 2:3, and there are 10 boys, then there must be 15 girls for the ratios to be proportional. |
Here are five possible applications of ratio and proportion that can be explained to 10-year-olds:
Answer Key
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