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Fractions and Ratios

Units and Fractions Fractions and Ratios

🎬 Video Tutorial

(0:01) Understanding Ratios: Ratios compare two or more quantities, showing their relative sizes. The order of numbers in a ratio matters, e.g., 2:3 is different from 3:2.
(0:34) Dividing Amounts by Ratio: To split an amount like £200 in a 7:3 ratio, divide the total by the sum of parts, then multiply by each ratio part to find individual shares.
(2:13) Simplifying Ratios: Simplify ratios by dividing all parts by their common factors, e.g., 24:40 simplifies to 3:5, making it easier to interpret.
(2:46) Expanding Ratios: Expand ratios by multiplying each part by the same number, e.g., expanding 3:7 by 5 results in 15:35.

📂 Revision Cards

Illustration for ratios with 2 apples and 3 bananas as an example. The ratio of apples to bananas is 2:3, and the ratio of bananas to apples is 3:2.

Ratio calculation showing flour to sugar ratio of 5:2 with a worked example of 300 g of flour, determining that 120 g of sugar is needed.

An example of sharing £200 in the ratio 7:3, total parts calculated as 10, each part worth £20. One person receives £140, the other receives £60.

Simplifying the ratio 24:40 by dividing both terms to get 3:5 and expanding the ratio 3:7 by multiplying both terms to get 15:35.

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