3.1 Ratio

• If a cake recipe needs 2 cups of flour for every 3 cups of milk, the ratio of flour to milk is 2:3
• Ratios can be expressed using colons or fractions.


  True
• Simplifying a ratio involves dividing both sides by their highest common factor.


  True
• What does simplifying a ratio involve?

  Reducing to smallest terms
• A ratio can be expressed as a fraction.


  True
• Ratios are used to show the relative proportion
• When simplifying 12:18, dividing both sides by 6 results in the ratio 2:3
• Steps to simplify the ratio 24:36

  1️⃣ Find the HCF of 24 and 36, which is 12

  2️⃣ Divide both sides of the ratio by 12

  3️⃣ Write the simplified ratio as 2:3
• What are three equivalent ratios for 2:5?

  4:10, 6:15, 2:5
• Converting ratios into fractions is a method to compare them.

  True
• A ratio is a comparison of two or more quantities
• Steps to simplify a ratio

  1️⃣ Find the HCF of the two quantities

  2️⃣ Divide both sides of the ratio by the HCF

  3️⃣ Write the simplified ratio in its simplest form
• What is the simplified ratio of 24:36?

  2:3
• What is a ratio used to compare?

  Two or more quantities
• How is the ratio of 3 parts lettuce to 2 parts spinach written using colons?

  3:2
• What does the ratio 1/4 mean in terms of flour and sugar?

  1 cup flour to 4 cups sugar
• What is the highest common factor of 12 and 18?

  6
• To simplify a ratio, you must divide both sides by the highest common factor.


  True
• Dividing both sides of a ratio by their highest common factor results in an equivalent ratio.


  True
• Which ratio is greater: 3:5 or 2:3?

  2:3
• In a recipe that requires 2 cups of flour for every 3 cups of milk, how much flour is needed for 6 cups of milk?

  4 cups
• What does the ratio 2:3 mean?

  2 parts to 3 parts
• What is the simplified ratio of 12:18?

  2:3
• The highest common factor (HCF) of 24 and 36 is 12.


  True
• In the ratio 2:3, the first quantity represents 2 parts
• Fractions can be used to express ratios.


  True
• Simplifying a ratio involves dividing both sides by their highest common factor.


  True
• What is the first step to simplify a ratio?

  Find the HCF
• Match the method to find equivalent ratios with its description:

  Multiplication ↔️ Multiply both parts by a constant number

  Division ↔️ Divide both parts by their HCF
• Steps to compare the ratios 3:5 and 2:3 using cross-multiplication

  1️⃣ Multiply 3 by 3 to get 9

  2️⃣ Multiply 2 by 5 to get 10

  3️⃣ Compare 9 and 10 to determine 2:3 is greater
• Steps to solve a ratio word problem

  1️⃣ Understand the ratio

  2️⃣ Set up the proportion

  3️⃣ Solve for the unknown

  4️⃣ Answer the question
• The HCF of 24 and 36 is 12
• Steps to simplify the ratio 24:36

  1️⃣ Find the HCF of 24 and 36

  2️⃣ Divide both sides by the HCF

  3️⃣ Write the simplified ratio
• Match the ratio notation with its meaning:

  2:3 ↔️ First quantity is 2 parts, second is 3 parts

  1/4 ↔️ One part is compared to four parts
• Steps to simplify a ratio

  1️⃣ Find the HCF of the two quantities

  2️⃣ Divide both sides of the ratio by the HCF

  3️⃣ Write the simplified ratio
• Simplifying ratios involves dividing both sides by their highest common factor
• To find an equivalent ratio, you can multiply both parts of the ratio by the same number
• Cross-multiplication involves multiplying numerators and denominators
• To find an unknown quantity in a ratio word problem, you can use cross-multiplication