Common Core: 7th Grade Math : Compute Unit Rates Associated with Ratios of Fractions: CCSS.Math.Content.7.RP.A.1

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #21 : Ratios & Proportional Relationships

David walks  of a mile  in  of an hour. If he continues this rate, what is David's speed in miles per hour  

Possible Answers:

Correct answer:

Explanation:

The phrase "miles per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have miles, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

David can walk at a speed of:

 

Example Question #22 : Ratios & Proportional Relationships

Jenni drinks  of a liter of water in  of an hour. If she continues this rate, how many liters per hour does Jenni drink? 

Possible Answers:

Correct answer:

Explanation:

The phrase "liters per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have liters, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Jenni drinks  

Example Question #21 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Lisa drinks  of a liter of water in  of an hour. If she continues this rate, how many liters per hour does Lisa drink? 

Possible Answers:

Correct answer:

Explanation:

The phrase "liters per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have liters, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Lisa drinks  

Example Question #21 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Molly drinks  of a liter of water in  of an hour. If she continues this rate, how many liters per hour does Molly drink? 

Possible Answers:

Correct answer:

Explanation:

The phrase "liters per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have liters, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Molly drinks  

Example Question #25 : Ratios & Proportional Relationships

Emily drinks  of a liter of water in  of an hour. If she continues this rate, how many liters per hour does Emily drink? 

Possible Answers:

Correct answer:

Explanation:

The phrase "liters per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have liters, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Emily drinks  

Example Question #26 : Ratios & Proportional Relationships

Leah drinks  of a liter of water in  of an hour. If she continues this rate, how many liters per hour does Leah drink? 

Possible Answers:

Correct answer:

Explanation:

The phrase "liters per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have liters, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Leah drinks  

Example Question #27 : Ratios & Proportional Relationships

Judy eats  of a bag of chips  in  of an hour. If she continues this rate, how much of the bag can she eat per hour? 

Possible Answers:

Correct answer:

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have amount of chips, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Judy can eat 

Example Question #28 : Ratios & Proportional Relationships

Nancy eats  of a bag of chips in  of an hour. If she continues this rate, how much of the bag can she eat per hour? 

Possible Answers:

Correct answer:

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have amount of chips, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Nancy can eat 

Example Question #29 : Ratios & Proportional Relationships

Shellie eats  of a bag of chips  in  of an hour. If she continues this rate, how much of the bag can she eat per hour? 

Possible Answers:

Correct answer:

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have amount of chips, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Shellie can eat 

Example Question #30 : Ratios & Proportional Relationships

Lilly eats  of a bag of chips  in  of an hour. If she continues this rate, how much of the bag can she eat per hour? 

Possible Answers:

Correct answer:

Explanation:

The phrase "per hour" gives us a clue that we are going to divide. In this problem, we can replace the word "per" with a division sign; therefore, we will have amount of chips, , divided by hours, :

Remember that when we divide fractions, we can simply multiply by the reciprocal of the denominator to solve. 

Therefore:

Lilly can eat 

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