3.1 Ratio

• In the ratio 3:5, the number 3 represents the quantity of apples
• What is the total number of parts in the ratio 3:5?

  8
• How is a ratio defined in terms of comparing quantities?

  Comparison of amounts
• To simplify the ratio 24:16, you divide both sides by their HCF, which is 8
• A ratio can be expressed as a fraction where the first quantity is the numerator.


  True
• A ratio can be expressed as a fraction by dividing one quantity by the total quantity
• How many total parts are in the ratio 2:3?

  5
• How much money does Ben receive if £40 is divided in the ratio 2:3?

  £24
• What does a ratio indicate about two or more quantities?

  Their relative amounts
• The ratio 3:5 tells us that for every 3 apples, there are 5 oranges.


  True
• In the ratio 3:5, the fraction of apples is 3/8
• Simplifying a ratio involves dividing each part by its highest common factor.

  True
• What symbol is used to write ratios?

  Colon
• What does each quantity in a ratio represent in relation to the whole?

  A part of the whole
• Steps to solve problems involving ratios

  1️⃣ Understand the ratio and quantities

  2️⃣ Find the total number of parts

  3️⃣ Divide the total value by the total parts

  4️⃣ Multiply each part of the ratio by the value of one part
• If £40 is divided in the ratio 2:3, the value of one part is £8