3.1 Ratio

• A ratio can be written using a colon or as a fraction
• What does the ratio $5:3$ mean in the example provided?


  5 apples for every 3 bananas
• The ratio of 5 apples to 3 bananas can be expressed as $\frac{5}{3}$ or 5:3</latex>


  True
• What are the two main ways to write a ratio?

  Colon and fraction
• Match the form of a ratio with its notation and description:

  Fraction ↔️ $\frac{a}{b}$ ||| Represents division of $a$ by $b$

  Colon ↔️ $a:b$ ||| Illustrates a comparison between $a$ and $b$
• To simplify the ratio $12:18$, both numbers are divided by their greatest common factor.


  True
• In what two primary forms can a ratio be written?

  Fraction and colon
• What does the ratio $3:4$ mean in fractional form?


  $\frac{3}{4}$
• What is the colon notation for a ratio called?

  $a:b$
• What is the definition of a ratio?

  Comparison of quantities
• What does the ratio $5:3$ mean in the example provided?


  5 apples for every 3 bananas
• Ratios can be written as fractions or using a colon to show the relationship between quantities

  True
• The fractional form of the ratio $3:4$ is $\frac{3}{4}$, which means 3 parts for every 4
• To simplify the ratio $12:18$, both numbers are divided by 6
• The fractional form of a ratio represents the ratio as a division
• To simplify a ratio, divide all terms by their greatest common factor
• What is the greatest common factor of $24$ and $36$?


  $12$
• What is the first step in comparing two ratios using equivalent fractions?

  Convert to fractions
• If the ratio of apples to bananas is $5:3$, what is the scaled-up ratio when multiplied by 2?


  $10:6$
• When scaling a ratio, the proportional relationship between the quantities is preserved
• To compare ratios effectively, transform them into equivalent fractions
• When scaling a ratio down, you divide all terms by the same number
• The ratio $24:36$ can be simplified to $2:3$ by dividing both terms by their GCF.


  True
• Steps to simplify and scale a ratio

  1️⃣ Find the GCF

  2️⃣ Divide by the GCF to simplify

  3️⃣ Multiply or divide to scale up or down
• What is a ratio used for?

  Comparing quantities
• The ratio of 5 apples to 3 bananas can be written as $\frac{5}{3}$ or $5:3$


  True
• A ratio can be written using a colon or as a fraction
• A ratio is a way to compare two or more quantities
• Ratios can be written in two primary forms: as a fraction or as a colon
• What is the process called for reducing a ratio to its simplest form?

  Simplifying
• What does the ratio $12:18$ simplify to?


  $2:3$
• The colon form of a ratio illustrates the relationship between two quantities as a division.

  False
• Steps to simplify a ratio using the GCF

  1️⃣ Find the greatest common factor (GCF)

  2️⃣ Divide all terms by the GCF

  3️⃣ Write the simplified ratio
• The simplified ratio of $24 : 36$ is $2 : 3$.


  True
• Are the ratios $2:3$ and $4:6$ equivalent?


  Yes
• In what two main ways can a ratio be written to compare quantities?

  Colon and fraction