3.1 Ratio

• A ratio is written using a colon between the quantities.


  True
• Match the ratio representation with its example:

  Colon Notation ↔️ 2:3

  Fractional Notation ↔️ $\frac{2}{3}$
• Steps to simplify a ratio:

  1️⃣ Find the highest common factor (HCF)

  2️⃣ Divide both parts of the ratio by the HCF

  3️⃣ Write the simplified ratio
• If two ratios have equal simplified values, they represent the same relationship.


  True
• Match the ratio concept with its description:

  Definition ↔️ Compares two quantities

  Notation ↔️ Uses colon (:) between quantities
• A ratio compares two quantities to show how much of one there is for every unit of the other
• A ratio compares two quantities
• To simplify a ratio, you divide both parts by their highest common factor
• To compare two ratios, you can simplify them or convert them to fractions
• If two ratios are equal after simplification, they represent the same proportional relationship.


  True
• To solve for an unknown in a ratio problem, you can set up a proportion
• A ratio compares two quantities
• The fractional notation is useful for performing mathematical operations
• To compare two ratios, first simplify them by dividing by their highest common factor
• What does a ratio of 2:3 commonly mean in terms of proportions?

  2 parts of one quantity for every 3 parts of another
• The ratio 2:3 is equivalent to the fraction $\frac{2}{3}$.


  True
• A ratio is commonly written using a colon (:) between the quantities.


  True
• Ratios can be represented in colon notation or fractional notation.


  True
• Steps to simplify a ratio

  1️⃣ Find the HCF of the numbers in the ratio

  2️⃣ Divide both parts of the ratio by the HCF

  3️⃣ Write the simplified ratio
• Simplifying ratios helps in comparing them by using the smallest whole numbers.


  True
• When using ratio reasoning, you use the relationship between the quantities in the ratio
• What is a ratio used to compare?

  Two quantities
• What does a ratio of 2:3 indicate?

  2 parts of one quantity for every 3 parts of another
• What is the highest common factor (HCF) used for when simplifying ratios?

  Dividing both parts
• What is one technique to compare ratios besides simplifying them?

  Convert to fractions
• A ratio is written using a colon between the quantities.
• What is the purpose of converting ratios to fractions when comparing them?

  To compare numerical values
• What is the notation used to represent a ratio?

  Colon (:)
• What does the fractional notation of a ratio look like?

  $\frac{2}{3}$
• What is the HCF of 12 and 18?

  6
• What is the fractional form of the ratio 12:18 in its simplest form?

  $\frac{2}{3}$
• If the ratio of flour to eggs is 2:3, and you need 6 cups of flour, how many eggs do you need?

  9