Learn: Ratio and Proportion

Welcome!Today we'll learn about Ratio and Proportion. Understanding these concepts helps us compare quantities and solve real-world problems step by step.

What is Ratio?A ratio compares two or more quantities by showing how many times one value contains or is contained in another. For example, if you have 2 apples and 3 oranges, the ratio of apples to oranges is 2:3.

What is Proportion?A proportion states that two ratios are equal. For example, if 3:4 is equal to 6:8, then these ratios are proportional. Proportions are useful for scaling up or down quantities while keeping the relationship between them consistent.

Simplifying RatiosTo simplify a ratio, divide both parts of the ratio by their highest common factor (HCF). For example, to simplify 12:16, divide both 12 and 16 by their HCF, which is 4. The simplified ratio is 3:4.

Dividing a Quantity into a RatioTo divide a quantity into a ratio, add the parts of the ratio together to find the total number of parts. Then, divide the quantity by the total number of parts to find the value of one part. Multiply this value by each part of the ratio.

Using Ratio in Real LifeRatios are used in recipes, mixing paint, or creating scale models. For example, if a recipe calls for a 2:1 ratio of flour to sugar, you use twice as much flour as sugar.

Ratio and Proportion in Word ProblemsWord problems involving ratios often require you to apply simplification or division. Read the problem carefully, identify the ratio, and use the given total to solve.

Review Time!Great work! You've learned about ratios, proportions, and how to apply them practically. Let's review the key concepts now.