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

Hannah loves to shop. She can shop in  of the mall in  of an hour. If she continues at this rate, how much of the mall can she shop 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 the portion of the mall, , divided by hours, :

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

Therefore:

Hannah can shop in  of the mall per hour. 

Example Question #72 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

Andrew spends every Saturday at the gym working out. He can complete  of his workout in  of an hour. If he continues this rate, how much of his workout does Andrew complete 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 the portion of his workout, , divided by hours, :

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

Therefore:

Andrew can complete  of his workout per hour. 

Example Question #71 : Ratios & Proportional Relationships

Andrew spends every Saturday at the gym working out. He can complete  of his workout in  of an hour. If he continues this rate, how much of his workout does Andrew complete 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 the portion of his workout, , divided by hours, :

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

Therefore:

Andrew can complete  of his workout per hour. 

Example Question #74 : Grade 7

Andrew spends every Saturday at the gym working out. He can complete  of his workout in  of an hour. If he continues this rate, how much of his workout does Andrew complete 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 the portion of his workout, , divided by hours, :

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

Therefore:

Andrew can complete  of his workout per hour. 

Example Question #71 : Compute Unit Rates Associated With Ratios Of Fractions: Ccss.Math.Content.7.Rp.A.1

A company that produces medicine for children in the United States wants to see if kids like their new medicine flavor. Select the option that best represents a population.

Possible Answers:

Everyone in the United States

Everyone in Florida

Every child in the United States

Every adult in the United States

Correct answer:

Every child in the United States

Explanation:

In order to answer this question, we first need to know what "population" means. A population is the entire group that is being studied.. In this case, it's all of the kids in the United States.  

Because the medicine company is only concerned about what kids think of their new flavor, we can eliminate all of the options that say "everyone" or "every adult", leaving us with "Every child in the United states" as our correct answer. 

Example Question #71 : Grade 7

A janitor can clean  of a stadium in  of an hour. If he continues at this rate, how much of the stadium can he clean 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 the portion of the stadium, , divided by hours, :

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

Therefore:

The janitor can clean  of the stadium per hour. 

Example Question #71 : Grade 7

Andrew spends every Saturday at the gym working out. He can complete  of his workout in  of an hour. If he continues at this rate, how much of his workout does Andrew complete 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 the portion of his workout, , divided by hours, :

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

Therefore:

Andrew can complete  of his workout per hour. 

Example Question #78 : Grade 7

Drew walks  of a mile  in  of an hour. If he continues at this rate, what is Drew'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:

Drew can walk at a speed of:

 

Example Question #79 : Grade 7

Sarah drinks  of a liter of water in  of an hour. If she continues at this rate, how many liters per hour does Sarah 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:

Sarah drinks  

Example Question #80 : Grade 7

Kalea eats  of a bag of chips  in  of an hour. If she continues at 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:

Kalea can eat 

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