# Common Core: 7th Grade Math : Ratios & Proportional Relationships

## 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

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?

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 #23 : Ratios & Proportional Relationships

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

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 #24 : Ratios & Proportional Relationships

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

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 #21 : 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?

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 #21 : Grade 7

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

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?

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?

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 #21 : 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?

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 #22 : 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?