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### Unit 3: Lesson 2

Lesson 5: Comparing speeds and prices

# Comparing rates example

Choose and calculate an appropriate unit rate for comparing 3 ratios in context. Order them from least to greatest. Interpret that information in context.

## Want to join the conversation?

• is 25% the same thing as 1/4
(1 vote)
• yes! think about it like this, 25 cents is 1/4 of a dollar. because 25+25+25+25= 100, or 25x4= 100! <3
• I am dreadfully confused... Does anyone know a simpler way of doing this?
• Equivalent rates can be used to compare different sets of quantities that have the same value. A rate that compares a quantity to one is called a unit rate. The unit rate has a denominator equal to one when written as a fraction. Unit rates can be used to find larger equivalent rates.
• When Sal divided 100/12, how did he get 8 1/3?
• So 12 times 8 would be equal to a total of 96. It can’t be any larger, or it wouldn’t fit in the amount of 100. The remainder that you get after that would be 4. However, since the denominator is 12, you would get 4/12, which is equal to 1/3. That gives you 8 1/3.
• how is 8 larger than 8 1/3?
• I have to say... the problem is a little vague with it's wording. They seem to be ordering the tanks based on the number of fish in the tank, but doing it by looking at the rates: liters of water per fish. In this situation, the more water needed for 1 fish means the fewer fish you can put in that tank.
Thus: 8 1/3 liters / fish has more water than 8 liters / fish. Thus there are fewer fish in the tank with the 8 1/3 liters / fish.
Hope this helps.
• This is such a weird example
• Does it matter which order you write it in?
• Yes it does because writing the rate backwards changes the value of the rate.
• How do you know when to divide
• Why is this so easy to me?