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

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Example Question #81 : Ratios & Proportional Relationships

Megan can clean  of a house in  of an hour. If she continues at this rate, how much of the house can Megan 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 house, , divided by hours, :

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

Therefore:

Megan can clean  of the house per hour. 

 

Example Question #81 : Ratios & Proportional Relationships

Armen can complete  of his homework in  of an hour. If he continues at this rate, how much of his homework can Armen 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 amount of homework, , divided by hours, :

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

Therefore:

Armen can complete  of his homework per hour. 

Example Question #83 : Ratios & Proportional Relationships

A baker can decorate  of a wedding cake in  of an hour. If the baker continues this at rate, how much of the wedding cake can he decorate 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 cake decorated, , divided by hours, :

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

Therefore:

The baker can decorate  of the wedding cake per hour. 

Example Question #84 : Ratios & Proportional Relationships

A painter can paint  of a house in  of an hour. If he continues at this rate, how much of the house can he paint 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 portion of the house painted, , divided by hours, :

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

Therefore:

The painter can paint  of a house per hour. 

Example Question #85 : Ratios & Proportional Relationships

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 #86 : 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 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 #81 : 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 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 #88 : Ratios & Proportional Relationships

 

Eric walks one-fourth of a mile in half an hour. If he continues at this rate, what is Eric'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:

Eric can walk at a speed of:

 

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