3.1 Ratio

• What is a ratio used for?

  Comparing two or more quantities
• Ratios can only be expressed as fractions.

  False
• Ratios express the relative relationship between quantities.
• Match the ratio representation with its example:

  Fraction ↔️ 2:3

  Decimal ↔️ 0.667

  Percentage ↔️ 66.7%
• Steps to convert between different ratio representations:

  1️⃣ Write the ratio as a fraction, e.g., 2:3

  2️⃣ Convert to a decimal by dividing the first number by the second, e.g., 2/3 = 0.667

  3️⃣ Multiply the decimal by 100 to get a percentage, e.g., 0.667 × 100 = 66.7%
• Simplifying a ratio involves reducing it to its lowest terms while maintaining the same proportions.
• To simplify a ratio, find the highest common factor.
• What is the highest common factor of 24 and 36?

  12
• To divide quantities in a given ratio, you first need to sum the parts of the ratio.
• Steps to divide quantities in a given ratio:

  1️⃣ Sum the parts of the ratio.

  2️⃣ Divide the total quantity by the sum from step 1 to find the value of one part.

  3️⃣ Multiply each part of the ratio by the value from step 2 to find the individual quantities.
• What is the value of one part when dividing 60 sweets in the ratio 3:2?

  12
• Match the ratio part with its corresponding quantity when dividing 60 sweets in the ratio 3:2:

  3 parts ↔️ 36 sweets

  2 parts ↔️ 24 sweets