Learn: Ratio and Proportion

Welcome!Today we'll learn about Ratio and Proportion. These concepts help us compare quantities and solve problems involving sharing or scaling. Let's dive in!

What is Ratio?A ratio compares two or more quantities, showing how much of one thing there is compared to another. For example, if you have 2 apples and 3 oranges, the ratio of apples to oranges is 2:3.

Understanding ProportionProportion is a way to show that two ratios are equal. For example, if you have 2 apples for every 3 oranges, then for 4 apples, you'd have 6 oranges — the ratios are proportional: 2:3 = 4:6.

Using Ratios to Divide a QuantityTo divide a quantity using ratios, add the parts of the ratio together, then divide the total quantity by this sum to find the value of one part. Multiply this value by the individual parts to find how much each gets.

Understanding Scaling with ProportionScaling means adjusting quantities while maintaining the same ratio. For example, if a recipe calls for 2 eggs and 100g of flour, doubling the recipe means you use 4 eggs and 200g of flour — a 2:100 ratio becomes 4:200.

Reverse ProportionReverse proportion occurs when one value increases while another decreases. For example, if you need 12 hours to finish a project with 3 workers, adding more workers would reduce the time required proportionally.

Percentage and ProportionPercentages are another way to express proportion. For example, 50% is the same as a ratio of 1:2 or 50 out of 100. If you have 200 apples, 50% means you have 100 apples.

Review Time!Great work! You've learned about ratios, proportions, scaling, and percentages. Now let's test your understanding with a few final questions.