Learn: Understanding Ratios

Welcome!Today we're learning about ratios. Ratios are used to compare quantities, and they're an important part of everyday maths. Let's dive in and explore how to simplify and use ratios!

What is a ratio?A ratio compares two or more numbers, showing how much of one thing there is compared to another. It's written in the form a : b, where 'a' and 'b' are the quantities being compared. For example, if you have 2 apples and 3 oranges, the ratio is 2 : 3.

Simplifying RatiosRatios can often be simplified, just like fractions. To simplify a ratio, divide both parts by their highest common factor (HCF). For example, the ratio 6 : 9 can be simplified to 2 : 3 (divide both by 3).

Using Ratios in Real LifeRatios are used in recipes, maps, and scale models. For example, if a recipe says '2 : 3 sugar to flour', it means 2 parts sugar for every 3 parts flour. Ratios help us maintain consistent proportions.

Dividing in RatiosTo divide a quantity in a given ratio, add the parts of the ratio to find the total, then divide the quantity accordingly. For example, to divide £90 in the ratio 2 : 1, add 2 + 1 = 3 parts. Each part is £90 ÷ 3 = £30. So, £60 goes to the first part, and £30 to the second.

Review Time!Great work! You've learned about ratios, simplifying them, and dividing quantities. Let's review these concepts with a few questions.