MSM1 Proportional Rates/ Unit Rates

3m · Ramos on Math · 04 May 11:50

• Definition: Proportion is an equation which defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios.  When two ratios are equal in value, then they are said to be in proportion.
  
• When you have a fraction and  multiply the numerator and the denominator by the same number or divide each by the same number the fraction are proportional.
  
• Examples: ½ is proportional to 2/4 because you multiply the numerator and the denominator by 2. ⅓ is proportional to 2/6 because you multiply the numerator and the denominator by 2. ¼ is proportional to 3/6  because you multiply the numerator and the denominator by three.
  
• We can compare these ratios in  a chart for easy comparison and formulating missing value to create proportional ratios.
  
• A unit rate:  A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
  
  • Example: You walk 24 miles in 6 minutes, divide 24 by 6=4, the unit rate is 4 miles per minute. We divided the numerator and denominator by 4
    
  • This helps when comparing things like cars; The mustang gets 22 gallon per mile and the Corolla gets 55 miles per 2 gallons. If we convert the Corolla to a unit rate we can compare and see which car gets more per gallon. Divide the numerator and denominator by 2, and you see the Corolla get 27.5 miles per gallon (which is better gas mileage).
    
  • Here is a unit rate calculator: https://www.calculatorsoup.com/calculators/math/unit-rate-calculator.php#:~:text=A%20unit%20rate%20is%20a,operation%3A%20numerator%20divided%20by%20denominator.
    
  • Some real world examples we use in our daily life:
    
    • Price per pound
      
    • Heart beats per minute
      
    • Calories per serving
      
    • Steps per Day

The episode MSM1 Proportional Rates/ Unit Rates from the podcast Ramos on Math has a duration of 3:16. It was first published 04 May 11:50. The cover art and the content belong to their respective owners.