Compare Unit Rates (Different Representations) Worksheet

7 problems

The ratio of two different quantities whose denominator is 1 can be referred to as ‘Unit rate’. In simple terms, the quantity of something in per unit or each unit is known as unit rates. We can easily compare unit rates using the concept of ‘equivalent rates’. Those rates that are used to compare different sets of amounts or quantities with the same value are called ‘equivalent rates’. However, unit rates are used to determine the larger equivalent rates. 

Grade 7
Rates And Proportional Relationships

Teaching Solving Comparing Unit Rates Easily 


  • Firstly, note down the rates. Then, you may write those as a fraction. For instance a/b. 
  • Secondly, simplify the denominator to equal 1. 
  • Lastly, compare the different unit rates and justify your answer. 


Let us look at the given example mentioned below to understand more about comparing unit rates. 


Q.1 Find the unit rate for the following question. Ratan cuts 7 lawns in 5 hours. How many lawn does he cut in one hour? 




Step 1: Note down the rate as a fraction. 


Ratan cuts = 7 laws / 5 hours. 


Step 2: Simplify the denominator to equal 1. 


7 lawns / 5 / 5 hours / 5 = 1.4 lawns / 1 hour. 


Hence, Ratan cuts 1.4 lawns in an hour. 


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